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Finding the Third Proportional to 112,207.50 and 242,248.50

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Solution

The third proportional to 112,207.50 and 242,248.50 is: 522,998.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,207.50 : 242,248.50 = 242,248.50 : x
  2. Step 2: Convert to fraction form
    112,207.50/242,248.50 = 242,248.50/x
  3. Step 3: Cross multiply
    112,207.50x = 242,248.50 × 242,248.50
  4. Step 4: Simplify right side
    112,207.50x = 58,684,335,752.25
  5. Step 5: Solve for x
    x = 58,684,335,752.25/112,207.50
  6. Step 6: Final answer
    x = 522,998.34

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Why These Related Problems?

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