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Finding the Third Proportional to 106,834.50 and 249,585.75

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Solution

The third proportional to 106,834.50 and 249,585.75 is: 583,079.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,834.50 : 249,585.75 = 249,585.75 : x
  2. Step 2: Convert to fraction form
    106,834.50/249,585.75 = 249,585.75/x
  3. Step 3: Cross multiply
    106,834.50x = 249,585.75 × 249,585.75
  4. Step 4: Simplify right side
    106,834.50x = 62,293,046,603.06
  5. Step 5: Solve for x
    x = 62,293,046,603.06/106,834.50
  6. Step 6: Final answer
    x = 583,079.87

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.