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Finding the Third Proportional to 116,230.50 and 170,364.38

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Solution

The third proportional to 116,230.50 and 170,364.38 is: 249,710.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,230.50 : 170,364.38 = 170,364.38 : x
  2. Step 2: Convert to fraction form
    116,230.50/170,364.38 = 170,364.38/x
  3. Step 3: Cross multiply
    116,230.50x = 170,364.38 × 170,364.38
  4. Step 4: Simplify right side
    116,230.50x = 29,024,020,269.14
  5. Step 5: Solve for x
    x = 29,024,020,269.14/116,230.50
  6. Step 6: Final answer
    x = 249,710.88

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.