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Finding the Third Proportional to 172,080 and 402,160

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Solution

The third proportional to 172,080 and 402,160 is: 939,869.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,080 : 402,160 = 402,160 : x
  2. Step 2: Convert to fraction form
    172,080/402,160 = 402,160/x
  3. Step 3: Cross multiply
    172,080x = 402,160 × 402,160
  4. Step 4: Simplify right side
    172,080x = 161,732,665,600
  5. Step 5: Solve for x
    x = 161,732,665,600/172,080
  6. Step 6: Final answer
    x = 939,869.05

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.