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Finding the Third Proportional to 113,386 and 247,495

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Solution

The third proportional to 113,386 and 247,495 is: 540,223.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,386 : 247,495 = 247,495 : x
  2. Step 2: Convert to fraction form
    113,386/247,495 = 247,495/x
  3. Step 3: Cross multiply
    113,386x = 247,495 × 247,495
  4. Step 4: Simplify right side
    113,386x = 61,253,775,025
  5. Step 5: Solve for x
    x = 61,253,775,025/113,386
  6. Step 6: Final answer
    x = 540,223.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.