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Finding the Third Proportional to 157,762 and 346,142

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Solution

The third proportional to 157,762 and 346,142 is: 759,462.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,762 : 346,142 = 346,142 : x
  2. Step 2: Convert to fraction form
    157,762/346,142 = 346,142/x
  3. Step 3: Cross multiply
    157,762x = 346,142 × 346,142
  4. Step 4: Simplify right side
    157,762x = 119,814,284,164
  5. Step 5: Solve for x
    x = 119,814,284,164/157,762
  6. Step 6: Final answer
    x = 759,462.25

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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.