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Finding the Third Proportional to 112,770 and 243,684

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Solution

The third proportional to 112,770 and 243,684 is: 526,575.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,770 : 243,684 = 243,684 : x
  2. Step 2: Convert to fraction form
    112,770/243,684 = 243,684/x
  3. Step 3: Cross multiply
    112,770x = 243,684 × 243,684
  4. Step 4: Simplify right side
    112,770x = 59,381,891,856
  5. Step 5: Solve for x
    x = 59,381,891,856/112,770
  6. Step 6: Final answer
    x = 526,575.26

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.