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Finding the Third Proportional to 160,931.25 and 349,514.81

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Solution

The third proportional to 160,931.25 and 349,514.81 is: 759,085.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,931.25 : 349,514.81 = 349,514.81 : x
  2. Step 2: Convert to fraction form
    160,931.25/349,514.81 = 349,514.81/x
  3. Step 3: Cross multiply
    160,931.25x = 349,514.81 × 349,514.81
  4. Step 4: Simplify right side
    160,931.25x = 122,160,604,156.91
  5. Step 5: Solve for x
    x = 122,160,604,156.91/160,931.25
  6. Step 6: Final answer
    x = 759,085.66

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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.