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Finding the Third Proportional to 200,248.50 and 437,421.75

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Solution

The third proportional to 200,248.50 and 437,421.75 is: 955,501.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,248.50 : 437,421.75 = 437,421.75 : x
  2. Step 2: Convert to fraction form
    200,248.50/437,421.75 = 437,421.75/x
  3. Step 3: Cross multiply
    200,248.50x = 437,421.75 × 437,421.75
  4. Step 4: Simplify right side
    200,248.50x = 191,337,787,373.06
  5. Step 5: Solve for x
    x = 191,337,787,373.06/200,248.50
  6. Step 6: Final answer
    x = 955,501.73

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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.