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Finding the Third Proportional to 148,082.63 and 319,807.13

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Solution

The third proportional to 148,082.63 and 319,807.13 is: 690,672.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,082.63 : 319,807.13 = 319,807.13 : x
  2. Step 2: Convert to fraction form
    148,082.63/319,807.13 = 319,807.13/x
  3. Step 3: Cross multiply
    148,082.63x = 319,807.13 × 319,807.13
  4. Step 4: Simplify right side
    148,082.63x = 102,276,597,200.77
  5. Step 5: Solve for x
    x = 102,276,597,200.77/148,082.63
  6. Step 6: Final answer
    x = 690,672.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.