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Finding the Third Proportional to 157,604 and 241,122

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Solution

The third proportional to 157,604 and 241,122 is: 368,898.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,604 : 241,122 = 241,122 : x
  2. Step 2: Convert to fraction form
    157,604/241,122 = 241,122/x
  3. Step 3: Cross multiply
    157,604x = 241,122 × 241,122
  4. Step 4: Simplify right side
    157,604x = 58,139,818,884
  5. Step 5: Solve for x
    x = 58,139,818,884/157,604
  6. Step 6: Final answer
    x = 368,898.12

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.