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Finding the Third Proportional to 175,010 and 357,403

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Solution

The third proportional to 175,010 and 357,403 is: 729,883.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,010 : 357,403 = 357,403 : x
  2. Step 2: Convert to fraction form
    175,010/357,403 = 357,403/x
  3. Step 3: Cross multiply
    175,010x = 357,403 × 357,403
  4. Step 4: Simplify right side
    175,010x = 127,736,904,409
  5. Step 5: Solve for x
    x = 127,736,904,409/175,010
  6. Step 6: Final answer
    x = 729,883.46

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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.