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Finding the Third Proportional to 181,645 and 272,528

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Solution

The third proportional to 181,645 and 272,528 is: 408,882.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,645 : 272,528 = 272,528 : x
  2. Step 2: Convert to fraction form
    181,645/272,528 = 272,528/x
  3. Step 3: Cross multiply
    181,645x = 272,528 × 272,528
  4. Step 4: Simplify right side
    181,645x = 74,271,510,784
  5. Step 5: Solve for x
    x = 74,271,510,784/181,645
  6. Step 6: Final answer
    x = 408,882.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.