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Finding the Third Proportional to 113,962 and 249,394

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Solution

The third proportional to 113,962 and 249,394 is: 545,772.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,962 : 249,394 = 249,394 : x
  2. Step 2: Convert to fraction form
    113,962/249,394 = 249,394/x
  3. Step 3: Cross multiply
    113,962x = 249,394 × 249,394
  4. Step 4: Simplify right side
    113,962x = 62,197,367,236
  5. Step 5: Solve for x
    x = 62,197,367,236/113,962
  6. Step 6: Final answer
    x = 545,772.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.