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Finding the Third Proportional to 140,010 and 224,593.50

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Solution

The third proportional to 140,010 and 224,593.50 is: 360,275.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,010 : 224,593.50 = 224,593.50 : x
  2. Step 2: Convert to fraction form
    140,010/224,593.50 = 224,593.50/x
  3. Step 3: Cross multiply
    140,010x = 224,593.50 × 224,593.50
  4. Step 4: Simplify right side
    140,010x = 50,442,240,242.25
  5. Step 5: Solve for x
    x = 50,442,240,242.25/140,010
  6. Step 6: Final answer
    x = 360,275.98

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.