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Finding the Third Proportional to 157,764 and 346,146

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Solution

The third proportional to 157,764 and 346,146 is: 759,470.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,764 : 346,146 = 346,146 : x
  2. Step 2: Convert to fraction form
    157,764/346,146 = 346,146/x
  3. Step 3: Cross multiply
    157,764x = 346,146 × 346,146
  4. Step 4: Simplify right side
    157,764x = 119,817,053,316
  5. Step 5: Solve for x
    x = 119,817,053,316/157,764
  6. Step 6: Final answer
    x = 759,470.18

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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.