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Finding the Third Proportional to 157,034 and 348,897

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Solution

The third proportional to 157,034 and 348,897 is: 775,176.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,034 : 348,897 = 348,897 : x
  2. Step 2: Convert to fraction form
    157,034/348,897 = 348,897/x
  3. Step 3: Cross multiply
    157,034x = 348,897 × 348,897
  4. Step 4: Simplify right side
    157,034x = 121,729,116,609
  5. Step 5: Solve for x
    x = 121,729,116,609/157,034
  6. Step 6: Final answer
    x = 775,176.82

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.