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Finding the Third Proportional to 157,726 and 345,986

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Solution

The third proportional to 157,726 and 345,986 is: 758,951.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,726 : 345,986 = 345,986 : x
  2. Step 2: Convert to fraction form
    157,726/345,986 = 345,986/x
  3. Step 3: Cross multiply
    157,726x = 345,986 × 345,986
  4. Step 4: Simplify right side
    157,726x = 119,706,312,196
  5. Step 5: Solve for x
    x = 119,706,312,196/157,726
  6. Step 6: Final answer
    x = 758,951.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.