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Finding the Third Proportional to 137,362.50 and 285,248.25

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Solution

The third proportional to 137,362.50 and 285,248.25 is: 592,349.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,362.50 : 285,248.25 = 285,248.25 : x
  2. Step 2: Convert to fraction form
    137,362.50/285,248.25 = 285,248.25/x
  3. Step 3: Cross multiply
    137,362.50x = 285,248.25 × 285,248.25
  4. Step 4: Simplify right side
    137,362.50x = 81,366,564,128.06
  5. Step 5: Solve for x
    x = 81,366,564,128.06/137,362.50
  6. Step 6: Final answer
    x = 592,349.18

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.