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Finding the Third Proportional to 134,617.50 and 208,417.50

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Solution

The third proportional to 134,617.50 and 208,417.50 is: 322,676.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,617.50 : 208,417.50 = 208,417.50 : x
  2. Step 2: Convert to fraction form
    134,617.50/208,417.50 = 208,417.50/x
  3. Step 3: Cross multiply
    134,617.50x = 208,417.50 × 208,417.50
  4. Step 4: Simplify right side
    134,617.50x = 43,437,854,306.25
  5. Step 5: Solve for x
    x = 43,437,854,306.25/134,617.50
  6. Step 6: Final answer
    x = 322,676.13

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.