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Finding the Third Proportional to 134,925.75 and 290,616.19

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Solution

The third proportional to 134,925.75 and 290,616.19 is: 625,957.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,925.75 : 290,616.19 = 290,616.19 : x
  2. Step 2: Convert to fraction form
    134,925.75/290,616.19 = 290,616.19/x
  3. Step 3: Cross multiply
    134,925.75x = 290,616.19 × 290,616.19
  4. Step 4: Simplify right side
    134,925.75x = 84,457,768,437.04
  5. Step 5: Solve for x
    x = 84,457,768,437.04/134,925.75
  6. Step 6: Final answer
    x = 625,957.38

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.