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Finding the Third Proportional to 157,962 and 250,083

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Solution

The third proportional to 157,962 and 250,083 is: 395,927.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,962 : 250,083 = 250,083 : x
  2. Step 2: Convert to fraction form
    157,962/250,083 = 250,083/x
  3. Step 3: Cross multiply
    157,962x = 250,083 × 250,083
  4. Step 4: Simplify right side
    157,962x = 62,541,506,889
  5. Step 5: Solve for x
    x = 62,541,506,889/157,962
  6. Step 6: Final answer
    x = 395,927.55

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.