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Finding the Third Proportional to 140,528 and 205,534

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Solution

The third proportional to 140,528 and 205,534 is: 300,610.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,528 : 205,534 = 205,534 : x
  2. Step 2: Convert to fraction form
    140,528/205,534 = 205,534/x
  3. Step 3: Cross multiply
    140,528x = 205,534 × 205,534
  4. Step 4: Simplify right side
    140,528x = 42,244,225,156
  5. Step 5: Solve for x
    x = 42,244,225,156/140,528
  6. Step 6: Final answer
    x = 300,610.73

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.