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Finding the Third Proportional to 157,653 and 238,113

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Solution

The third proportional to 157,653 and 238,113 is: 359,636.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,653 : 238,113 = 238,113 : x
  2. Step 2: Convert to fraction form
    157,653/238,113 = 238,113/x
  3. Step 3: Cross multiply
    157,653x = 238,113 × 238,113
  4. Step 4: Simplify right side
    157,653x = 56,697,800,769
  5. Step 5: Solve for x
    x = 56,697,800,769/157,653
  6. Step 6: Final answer
    x = 359,636.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.