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Finding the Third Proportional to 115,957.50 and 249,444.75

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Solution

The third proportional to 115,957.50 and 249,444.75 is: 536,599.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,957.50 : 249,444.75 = 249,444.75 : x
  2. Step 2: Convert to fraction form
    115,957.50/249,444.75 = 249,444.75/x
  3. Step 3: Cross multiply
    115,957.50x = 249,444.75 × 249,444.75
  4. Step 4: Simplify right side
    115,957.50x = 62,222,683,302.56
  5. Step 5: Solve for x
    x = 62,222,683,302.56/115,957.50
  6. Step 6: Final answer
    x = 536,599.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.