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Finding the Third Proportional to 245,521.13 and 364,591.13

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Solution

The third proportional to 245,521.13 and 364,591.13 is: 541,406.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,521.13 : 364,591.13 = 364,591.13 : x
  2. Step 2: Convert to fraction form
    245,521.13/364,591.13 = 364,591.13/x
  3. Step 3: Cross multiply
    245,521.13x = 364,591.13 × 364,591.13
  4. Step 4: Simplify right side
    245,521.13x = 132,926,688,428.77
  5. Step 5: Solve for x
    x = 132,926,688,428.77/245,521.13
  6. Step 6: Final answer
    x = 541,406.32

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.