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Finding the Third Proportional to 175,010 and 357,402

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Solution

The third proportional to 175,010 and 357,402 is: 729,879.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,010 : 357,402 = 357,402 : x
  2. Step 2: Convert to fraction form
    175,010/357,402 = 357,402/x
  3. Step 3: Cross multiply
    175,010x = 357,402 × 357,402
  4. Step 4: Simplify right side
    175,010x = 127,736,189,604
  5. Step 5: Solve for x
    x = 127,736,189,604/175,010
  6. Step 6: Final answer
    x = 729,879.38

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.