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Finding the Third Proportional to 113,836.50 and 249,452

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Solution

The third proportional to 113,836.50 and 249,452 is: 546,628.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,836.50 : 249,452 = 249,452 : x
  2. Step 2: Convert to fraction form
    113,836.50/249,452 = 249,452/x
  3. Step 3: Cross multiply
    113,836.50x = 249,452 × 249,452
  4. Step 4: Simplify right side
    113,836.50x = 62,226,300,304
  5. Step 5: Solve for x
    x = 62,226,300,304/113,836.50
  6. Step 6: Final answer
    x = 546,628.72

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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.