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Finding the Third Proportional to 261,127 and 352,323

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Solution

The third proportional to 261,127 and 352,323 is: 475,368.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,127 : 352,323 = 352,323 : x
  2. Step 2: Convert to fraction form
    261,127/352,323 = 352,323/x
  3. Step 3: Cross multiply
    261,127x = 352,323 × 352,323
  4. Step 4: Simplify right side
    261,127x = 124,131,496,329
  5. Step 5: Solve for x
    x = 124,131,496,329/261,127
  6. Step 6: Final answer
    x = 475,368.29

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.