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Finding the Third Proportional to 169,485 and 371,532

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Solution

The third proportional to 169,485 and 371,532 is: 814,443.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,485 : 371,532 = 371,532 : x
  2. Step 2: Convert to fraction form
    169,485/371,532 = 371,532/x
  3. Step 3: Cross multiply
    169,485x = 371,532 × 371,532
  4. Step 4: Simplify right side
    169,485x = 138,036,027,024
  5. Step 5: Solve for x
    x = 138,036,027,024/169,485
  6. Step 6: Final answer
    x = 814,443.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.