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Finding the Third Proportional to 172,352 and 365,528

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Solution

The third proportional to 172,352 and 365,528 is: 775,220.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,352 : 365,528 = 365,528 : x
  2. Step 2: Convert to fraction form
    172,352/365,528 = 365,528/x
  3. Step 3: Cross multiply
    172,352x = 365,528 × 365,528
  4. Step 4: Simplify right side
    172,352x = 133,610,718,784
  5. Step 5: Solve for x
    x = 133,610,718,784/172,352
  6. Step 6: Final answer
    x = 775,220.01

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.