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Finding the Third Proportional to 175,020 and 357,416

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Solution

The third proportional to 175,020 and 357,416 is: 729,894.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,020 : 357,416 = 357,416 : x
  2. Step 2: Convert to fraction form
    175,020/357,416 = 357,416/x
  3. Step 3: Cross multiply
    175,020x = 357,416 × 357,416
  4. Step 4: Simplify right side
    175,020x = 127,746,197,056
  5. Step 5: Solve for x
    x = 127,746,197,056/175,020
  6. Step 6: Final answer
    x = 729,894.85

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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.