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Finding the Third Proportional to 130,281.50 and 285,502

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Solution

The third proportional to 130,281.50 and 285,502 is: 625,655.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,281.50 : 285,502 = 285,502 : x
  2. Step 2: Convert to fraction form
    130,281.50/285,502 = 285,502/x
  3. Step 3: Cross multiply
    130,281.50x = 285,502 × 285,502
  4. Step 4: Simplify right side
    130,281.50x = 81,511,392,004
  5. Step 5: Solve for x
    x = 81,511,392,004/130,281.50
  6. Step 6: Final answer
    x = 625,655.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.