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Finding the Third Proportional to 114,441.75 and 249,217.88

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Solution

The third proportional to 114,441.75 and 249,217.88 is: 542,717.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,441.75 : 249,217.88 = 249,217.88 : x
  2. Step 2: Convert to fraction form
    114,441.75/249,217.88 = 249,217.88/x
  3. Step 3: Cross multiply
    114,441.75x = 249,217.88 × 249,217.88
  4. Step 4: Simplify right side
    114,441.75x = 62,109,549,219.52
  5. Step 5: Solve for x
    x = 62,109,549,219.52/114,441.75
  6. Step 6: Final answer
    x = 542,717.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.