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Finding the Third Proportional to 156,030 and 242,073

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Solution

The third proportional to 156,030 and 242,073 is: 375,564.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,030 : 242,073 = 242,073 : x
  2. Step 2: Convert to fraction form
    156,030/242,073 = 242,073/x
  3. Step 3: Cross multiply
    156,030x = 242,073 × 242,073
  4. Step 4: Simplify right side
    156,030x = 58,599,337,329
  5. Step 5: Solve for x
    x = 58,599,337,329/156,030
  6. Step 6: Final answer
    x = 375,564.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.