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Finding the Third Proportional to 172,522 and 375,418

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Solution

The third proportional to 172,522 and 375,418 is: 816,931.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,522 : 375,418 = 375,418 : x
  2. Step 2: Convert to fraction form
    172,522/375,418 = 375,418/x
  3. Step 3: Cross multiply
    172,522x = 375,418 × 375,418
  4. Step 4: Simplify right side
    172,522x = 140,938,674,724
  5. Step 5: Solve for x
    x = 140,938,674,724/172,522
  6. Step 6: Final answer
    x = 816,931.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.