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Finding the Third Proportional to 116,537.50 and 249,693.50

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Solution

The third proportional to 116,537.50 and 249,693.50 is: 534,993.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,537.50 : 249,693.50 = 249,693.50 : x
  2. Step 2: Convert to fraction form
    116,537.50/249,693.50 = 249,693.50/x
  3. Step 3: Cross multiply
    116,537.50x = 249,693.50 × 249,693.50
  4. Step 4: Simplify right side
    116,537.50x = 62,346,843,942.25
  5. Step 5: Solve for x
    x = 62,346,843,942.25/116,537.50
  6. Step 6: Final answer
    x = 534,993.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.