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Finding the Third Proportional to 107,877 and 236,490

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Solution

The third proportional to 107,877 and 236,490 is: 518,437.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,877 : 236,490 = 236,490 : x
  2. Step 2: Convert to fraction form
    107,877/236,490 = 236,490/x
  3. Step 3: Cross multiply
    107,877x = 236,490 × 236,490
  4. Step 4: Simplify right side
    107,877x = 55,927,520,100
  5. Step 5: Solve for x
    x = 55,927,520,100/107,877
  6. Step 6: Final answer
    x = 518,437.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.