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Finding the Third Proportional to 131,788 and 310,952.50

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Solution

The third proportional to 131,788 and 310,952.50 is: 733,689.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,788 : 310,952.50 = 310,952.50 : x
  2. Step 2: Convert to fraction form
    131,788/310,952.50 = 310,952.50/x
  3. Step 3: Cross multiply
    131,788x = 310,952.50 × 310,952.50
  4. Step 4: Simplify right side
    131,788x = 96,691,457,256.25
  5. Step 5: Solve for x
    x = 96,691,457,256.25/131,788
  6. Step 6: Final answer
    x = 733,689.39

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.