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Finding the Third Proportional to 112,690.50 and 242,877

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Solution

The third proportional to 112,690.50 and 242,877 is: 523,462.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,690.50 : 242,877 = 242,877 : x
  2. Step 2: Convert to fraction form
    112,690.50/242,877 = 242,877/x
  3. Step 3: Cross multiply
    112,690.50x = 242,877 × 242,877
  4. Step 4: Simplify right side
    112,690.50x = 58,989,237,129
  5. Step 5: Solve for x
    x = 58,989,237,129/112,690.50
  6. Step 6: Final answer
    x = 523,462.38

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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.