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Finding the Third Proportional to 98,462.50 and 237,385.50

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Solution

The third proportional to 98,462.50 and 237,385.50 is: 572,318.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,462.50 : 237,385.50 = 237,385.50 : x
  2. Step 2: Convert to fraction form
    98,462.50/237,385.50 = 237,385.50/x
  3. Step 3: Cross multiply
    98,462.50x = 237,385.50 × 237,385.50
  4. Step 4: Simplify right side
    98,462.50x = 56,351,875,610.25
  5. Step 5: Solve for x
    x = 56,351,875,610.25/98,462.50
  6. Step 6: Final answer
    x = 572,318.15

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.