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Finding the Third Proportional to 160,985.75 and 349,626.25

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Solution

The third proportional to 160,985.75 and 349,626.25 is: 759,312.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,985.75 : 349,626.25 = 349,626.25 : x
  2. Step 2: Convert to fraction form
    160,985.75/349,626.25 = 349,626.25/x
  3. Step 3: Cross multiply
    160,985.75x = 349,626.25 × 349,626.25
  4. Step 4: Simplify right side
    160,985.75x = 122,238,514,689.06
  5. Step 5: Solve for x
    x = 122,238,514,689.06/160,985.75
  6. Step 6: Final answer
    x = 759,312.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.