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Finding the Third Proportional to 112,582 and 243,904

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Solution

The third proportional to 112,582 and 243,904 is: 528,407.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,582 : 243,904 = 243,904 : x
  2. Step 2: Convert to fraction form
    112,582/243,904 = 243,904/x
  3. Step 3: Cross multiply
    112,582x = 243,904 × 243,904
  4. Step 4: Simplify right side
    112,582x = 59,489,161,216
  5. Step 5: Solve for x
    x = 59,489,161,216/112,582
  6. Step 6: Final answer
    x = 528,407.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.