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Finding the Third Proportional to 113,569 and 247,023

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Solution

The third proportional to 113,569 and 247,023 is: 537,297.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,569 : 247,023 = 247,023 : x
  2. Step 2: Convert to fraction form
    113,569/247,023 = 247,023/x
  3. Step 3: Cross multiply
    113,569x = 247,023 × 247,023
  4. Step 4: Simplify right side
    113,569x = 61,020,362,529
  5. Step 5: Solve for x
    x = 61,020,362,529/113,569
  6. Step 6: Final answer
    x = 537,297.70

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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.