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Finding the Third Proportional to 131,387.50 and 288,208.50

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Solution

The third proportional to 131,387.50 and 288,208.50 is: 632,207.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,387.50 : 288,208.50 = 288,208.50 : x
  2. Step 2: Convert to fraction form
    131,387.50/288,208.50 = 288,208.50/x
  3. Step 3: Cross multiply
    131,387.50x = 288,208.50 × 288,208.50
  4. Step 4: Simplify right side
    131,387.50x = 83,064,139,472.25
  5. Step 5: Solve for x
    x = 83,064,139,472.25/131,387.50
  6. Step 6: Final answer
    x = 632,207.32

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