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Finding the Third Proportional to 156,623 and 237,120

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Solution

The third proportional to 156,623 and 237,120 is: 358,988.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,623 : 237,120 = 237,120 : x
  2. Step 2: Convert to fraction form
    156,623/237,120 = 237,120/x
  3. Step 3: Cross multiply
    156,623x = 237,120 × 237,120
  4. Step 4: Simplify right side
    156,623x = 56,225,894,400
  5. Step 5: Solve for x
    x = 56,225,894,400/156,623
  6. Step 6: Final answer
    x = 358,988.75

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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.