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Finding the Third Proportional to 245,855.25 and 371,044.13

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Solution

The third proportional to 245,855.25 and 371,044.13 is: 559,978.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,855.25 : 371,044.13 = 371,044.13 : x
  2. Step 2: Convert to fraction form
    245,855.25/371,044.13 = 371,044.13/x
  3. Step 3: Cross multiply
    245,855.25x = 371,044.13 × 371,044.13
  4. Step 4: Simplify right side
    245,855.25x = 137,673,742,697.02
  5. Step 5: Solve for x
    x = 137,673,742,697.02/245,855.25
  6. Step 6: Final answer
    x = 559,978.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.