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Finding the Third Proportional to 170,347 and 358,347

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Solution

The third proportional to 170,347 and 358,347 is: 753,829.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,347 : 358,347 = 358,347 : x
  2. Step 2: Convert to fraction form
    170,347/358,347 = 358,347/x
  3. Step 3: Cross multiply
    170,347x = 358,347 × 358,347
  4. Step 4: Simplify right side
    170,347x = 128,412,572,409
  5. Step 5: Solve for x
    x = 128,412,572,409/170,347
  6. Step 6: Final answer
    x = 753,829.37

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.