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Finding the Third Proportional to 113,820.47 and 245,877.19

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Solution

The third proportional to 113,820.47 and 245,877.19 is: 531,148.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,820.47 : 245,877.19 = 245,877.19 : x
  2. Step 2: Convert to fraction form
    113,820.47/245,877.19 = 245,877.19/x
  3. Step 3: Cross multiply
    113,820.47x = 245,877.19 × 245,877.19
  4. Step 4: Simplify right side
    113,820.47x = 60,455,591,332.91
  5. Step 5: Solve for x
    x = 60,455,591,332.91/113,820.47
  6. Step 6: Final answer
    x = 531,148.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.