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Finding the Third Proportional to 113,898 and 249,735

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Solution

The third proportional to 113,898 and 249,735 is: 547,573.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,898 : 249,735 = 249,735 : x
  2. Step 2: Convert to fraction form
    113,898/249,735 = 249,735/x
  3. Step 3: Cross multiply
    113,898x = 249,735 × 249,735
  4. Step 4: Simplify right side
    113,898x = 62,367,570,225
  5. Step 5: Solve for x
    x = 62,367,570,225/113,898
  6. Step 6: Final answer
    x = 547,573.88

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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.