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Finding the Third Proportional to 112,750.50 and 242,943

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Solution

The third proportional to 112,750.50 and 242,943 is: 523,468.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,750.50 : 242,943 = 242,943 : x
  2. Step 2: Convert to fraction form
    112,750.50/242,943 = 242,943/x
  3. Step 3: Cross multiply
    112,750.50x = 242,943 × 242,943
  4. Step 4: Simplify right side
    112,750.50x = 59,021,301,249
  5. Step 5: Solve for x
    x = 59,021,301,249/112,750.50
  6. Step 6: Final answer
    x = 523,468.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.