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Finding the Third Proportional to 157,360 and 237,345

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Solution

The third proportional to 157,360 and 237,345 is: 357,985.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,360 : 237,345 = 237,345 : x
  2. Step 2: Convert to fraction form
    157,360/237,345 = 237,345/x
  3. Step 3: Cross multiply
    157,360x = 237,345 × 237,345
  4. Step 4: Simplify right side
    157,360x = 56,332,649,025
  5. Step 5: Solve for x
    x = 56,332,649,025/157,360
  6. Step 6: Final answer
    x = 357,985.82

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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.