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Finding the Third Proportional to 155,813.77 and 334,901.11

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Solution

The third proportional to 155,813.77 and 334,901.11 is: 719,825.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,813.77 : 334,901.11 = 334,901.11 : x
  2. Step 2: Convert to fraction form
    155,813.77/334,901.11 = 334,901.11/x
  3. Step 3: Cross multiply
    155,813.77x = 334,901.11 × 334,901.11
  4. Step 4: Simplify right side
    155,813.77x = 112,158,753,060.61
  5. Step 5: Solve for x
    x = 112,158,753,060.61/155,813.77
  6. Step 6: Final answer
    x = 719,825.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.