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Finding the Third Proportional to 109,552 and 235,709

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Solution

The third proportional to 109,552 and 235,709 is: 507,144.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,552 : 235,709 = 235,709 : x
  2. Step 2: Convert to fraction form
    109,552/235,709 = 235,709/x
  3. Step 3: Cross multiply
    109,552x = 235,709 × 235,709
  4. Step 4: Simplify right side
    109,552x = 55,558,732,681
  5. Step 5: Solve for x
    x = 55,558,732,681/109,552
  6. Step 6: Final answer
    x = 507,144.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.