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Finding the Third Proportional to 156,480 and 237,706

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Solution

The third proportional to 156,480 and 237,706 is: 361,094.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,480 : 237,706 = 237,706 : x
  2. Step 2: Convert to fraction form
    156,480/237,706 = 237,706/x
  3. Step 3: Cross multiply
    156,480x = 237,706 × 237,706
  4. Step 4: Simplify right side
    156,480x = 56,504,142,436
  5. Step 5: Solve for x
    x = 56,504,142,436/156,480
  6. Step 6: Final answer
    x = 361,094.98

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.