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Finding the Third Proportional to 148,124.25 and 288,857.25

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Solution

The third proportional to 148,124.25 and 288,857.25 is: 563,300.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,124.25 : 288,857.25 = 288,857.25 : x
  2. Step 2: Convert to fraction form
    148,124.25/288,857.25 = 288,857.25/x
  3. Step 3: Cross multiply
    148,124.25x = 288,857.25 × 288,857.25
  4. Step 4: Simplify right side
    148,124.25x = 83,438,510,877.56
  5. Step 5: Solve for x
    x = 83,438,510,877.56/148,124.25
  6. Step 6: Final answer
    x = 563,300.82

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.