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Finding the Third Proportional to 84,232.50 and 181,587

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Solution

The third proportional to 84,232.50 and 181,587 is: 391,462.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,232.50 : 181,587 = 181,587 : x
  2. Step 2: Convert to fraction form
    84,232.50/181,587 = 181,587/x
  3. Step 3: Cross multiply
    84,232.50x = 181,587 × 181,587
  4. Step 4: Simplify right side
    84,232.50x = 32,973,838,569
  5. Step 5: Solve for x
    x = 32,973,838,569/84,232.50
  6. Step 6: Final answer
    x = 391,462.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.