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Finding the Third Proportional to 156,621 and 237,117

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Solution

The third proportional to 156,621 and 237,117 is: 358,984.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,621 : 237,117 = 237,117 : x
  2. Step 2: Convert to fraction form
    156,621/237,117 = 237,117/x
  3. Step 3: Cross multiply
    156,621x = 237,117 × 237,117
  4. Step 4: Simplify right side
    156,621x = 56,224,471,689
  5. Step 5: Solve for x
    x = 56,224,471,689/156,621
  6. Step 6: Final answer
    x = 358,984.25

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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.