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Finding the Third Proportional to 113,618 and 243,684

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Solution

The third proportional to 113,618 and 243,684 is: 522,645.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,618 : 243,684 = 243,684 : x
  2. Step 2: Convert to fraction form
    113,618/243,684 = 243,684/x
  3. Step 3: Cross multiply
    113,618x = 243,684 × 243,684
  4. Step 4: Simplify right side
    113,618x = 59,381,891,856
  5. Step 5: Solve for x
    x = 59,381,891,856/113,618
  6. Step 6: Final answer
    x = 522,645.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.