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Finding the Third Proportional to 145,117.13 and 341,452.13

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Solution

The third proportional to 145,117.13 and 341,452.13 is: 803,416.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,117.13 : 341,452.13 = 341,452.13 : x
  2. Step 2: Convert to fraction form
    145,117.13/341,452.13 = 341,452.13/x
  3. Step 3: Cross multiply
    145,117.13x = 341,452.13 × 341,452.13
  4. Step 4: Simplify right side
    145,117.13x = 116,589,553,667.02
  5. Step 5: Solve for x
    x = 116,589,553,667.02/145,117.13
  6. Step 6: Final answer
    x = 803,416.92

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.