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Finding the Third Proportional to 156,972 and 240,066

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Solution

The third proportional to 156,972 and 240,066 is: 367,146.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,972 : 240,066 = 240,066 : x
  2. Step 2: Convert to fraction form
    156,972/240,066 = 240,066/x
  3. Step 3: Cross multiply
    156,972x = 240,066 × 240,066
  4. Step 4: Simplify right side
    156,972x = 57,631,684,356
  5. Step 5: Solve for x
    x = 57,631,684,356/156,972
  6. Step 6: Final answer
    x = 367,146.27

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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.