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Finding the Third Proportional to 107,329.50 and 233,095.50

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Solution

The third proportional to 107,329.50 and 233,095.50 is: 506,230.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,329.50 : 233,095.50 = 233,095.50 : x
  2. Step 2: Convert to fraction form
    107,329.50/233,095.50 = 233,095.50/x
  3. Step 3: Cross multiply
    107,329.50x = 233,095.50 × 233,095.50
  4. Step 4: Simplify right side
    107,329.50x = 54,333,512,120.25
  5. Step 5: Solve for x
    x = 54,333,512,120.25/107,329.50
  6. Step 6: Final answer
    x = 506,230.93

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.