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Finding the Third Proportional to 159,714 and 349,237

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Solution

The third proportional to 159,714 and 349,237 is: 763,655.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,714 : 349,237 = 349,237 : x
  2. Step 2: Convert to fraction form
    159,714/349,237 = 349,237/x
  3. Step 3: Cross multiply
    159,714x = 349,237 × 349,237
  4. Step 4: Simplify right side
    159,714x = 121,966,482,169
  5. Step 5: Solve for x
    x = 121,966,482,169/159,714
  6. Step 6: Final answer
    x = 763,655.55

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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.