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Finding the Third Proportional to 112,353 and 238,557

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Solution

The third proportional to 112,353 and 238,557 is: 506,523.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,353 : 238,557 = 238,557 : x
  2. Step 2: Convert to fraction form
    112,353/238,557 = 238,557/x
  3. Step 3: Cross multiply
    112,353x = 238,557 × 238,557
  4. Step 4: Simplify right side
    112,353x = 56,909,442,249
  5. Step 5: Solve for x
    x = 56,909,442,249/112,353
  6. Step 6: Final answer
    x = 506,523.57

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.