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Finding the Third Proportional to 157,508 and 370,239

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Solution

The third proportional to 157,508 and 370,239 is: 870,285.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,508 : 370,239 = 370,239 : x
  2. Step 2: Convert to fraction form
    157,508/370,239 = 370,239/x
  3. Step 3: Cross multiply
    157,508x = 370,239 × 370,239
  4. Step 4: Simplify right side
    157,508x = 137,076,917,121
  5. Step 5: Solve for x
    x = 137,076,917,121/157,508
  6. Step 6: Final answer
    x = 870,285.43

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.