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Finding the Third Proportional to 148,156.50 and 235,357.50

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Solution

The third proportional to 148,156.50 and 235,357.50 is: 373,882.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,156.50 : 235,357.50 = 235,357.50 : x
  2. Step 2: Convert to fraction form
    148,156.50/235,357.50 = 235,357.50/x
  3. Step 3: Cross multiply
    148,156.50x = 235,357.50 × 235,357.50
  4. Step 4: Simplify right side
    148,156.50x = 55,393,152,806.25
  5. Step 5: Solve for x
    x = 55,393,152,806.25/148,156.50
  6. Step 6: Final answer
    x = 373,882.70

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.