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Finding the Third Proportional to 164,328.75 and 349,844.06

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Solution

The third proportional to 164,328.75 and 349,844.06 is: 744,792.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,328.75 : 349,844.06 = 349,844.06 : x
  2. Step 2: Convert to fraction form
    164,328.75/349,844.06 = 349,844.06/x
  3. Step 3: Cross multiply
    164,328.75x = 349,844.06 × 349,844.06
  4. Step 4: Simplify right side
    164,328.75x = 122,390,868,066.50
  5. Step 5: Solve for x
    x = 122,390,868,066.50/164,328.75
  6. Step 6: Final answer
    x = 744,792.79

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.