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Finding the Third Proportional to 156,543 and 237,807

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Solution

The third proportional to 156,543 and 237,807 is: 361,256.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,543 : 237,807 = 237,807 : x
  2. Step 2: Convert to fraction form
    156,543/237,807 = 237,807/x
  3. Step 3: Cross multiply
    156,543x = 237,807 × 237,807
  4. Step 4: Simplify right side
    156,543x = 56,552,169,249
  5. Step 5: Solve for x
    x = 56,552,169,249/156,543
  6. Step 6: Final answer
    x = 361,256.46

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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.