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Finding the Third Proportional to 131,298.75 and 288,127.13

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Solution

The third proportional to 131,298.75 and 288,127.13 is: 632,277.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,298.75 : 288,127.13 = 288,127.13 : x
  2. Step 2: Convert to fraction form
    131,298.75/288,127.13 = 288,127.13/x
  3. Step 3: Cross multiply
    131,298.75x = 288,127.13 × 288,127.13
  4. Step 4: Simplify right side
    131,298.75x = 83,017,240,160.77
  5. Step 5: Solve for x
    x = 83,017,240,160.77/131,298.75
  6. Step 6: Final answer
    x = 632,277.46

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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.