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Finding the Third Proportional to 148,963.50 and 230,802.75

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Solution

The third proportional to 148,963.50 and 230,802.75 is: 357,603.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,963.50 : 230,802.75 = 230,802.75 : x
  2. Step 2: Convert to fraction form
    148,963.50/230,802.75 = 230,802.75/x
  3. Step 3: Cross multiply
    148,963.50x = 230,802.75 × 230,802.75
  4. Step 4: Simplify right side
    148,963.50x = 53,269,909,407.56
  5. Step 5: Solve for x
    x = 53,269,909,407.56/148,963.50
  6. Step 6: Final answer
    x = 357,603.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.