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Finding the Third Proportional to 231,570 and 346,382

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Solution

The third proportional to 231,570 and 346,382 is: 518,117.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,570 : 346,382 = 346,382 : x
  2. Step 2: Convert to fraction form
    231,570/346,382 = 346,382/x
  3. Step 3: Cross multiply
    231,570x = 346,382 × 346,382
  4. Step 4: Simplify right side
    231,570x = 119,980,489,924
  5. Step 5: Solve for x
    x = 119,980,489,924/231,570
  6. Step 6: Final answer
    x = 518,117.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.