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Finding the Third Proportional to 192,547.13 and 299,314.30

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Solution

The third proportional to 192,547.13 and 299,314.30 is: 465,283.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,547.13 : 299,314.30 = 299,314.30 : x
  2. Step 2: Convert to fraction form
    192,547.13/299,314.30 = 299,314.30/x
  3. Step 3: Cross multiply
    192,547.13x = 299,314.30 × 299,314.30
  4. Step 4: Simplify right side
    192,547.13x = 89,589,050,652.17
  5. Step 5: Solve for x
    x = 89,589,050,652.17/192,547.13
  6. Step 6: Final answer
    x = 465,283.76

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Why These Related Problems?

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