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Finding the Third Proportional to 172,032.61 and 404,759.11

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Solution

The third proportional to 172,032.61 and 404,759.11 is: 952,319.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,032.61 : 404,759.11 = 404,759.11 : x
  2. Step 2: Convert to fraction form
    172,032.61/404,759.11 = 404,759.11/x
  3. Step 3: Cross multiply
    172,032.61x = 404,759.11 × 404,759.11
  4. Step 4: Simplify right side
    172,032.61x = 163,829,936,622.04
  5. Step 5: Solve for x
    x = 163,829,936,622.04/172,032.61
  6. Step 6: Final answer
    x = 952,319.08

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.