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Finding the Third Proportional to 165,746 and 357,700

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Solution

The third proportional to 165,746 and 357,700 is: 771,960.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,746 : 357,700 = 357,700 : x
  2. Step 2: Convert to fraction form
    165,746/357,700 = 357,700/x
  3. Step 3: Cross multiply
    165,746x = 357,700 × 357,700
  4. Step 4: Simplify right side
    165,746x = 127,949,290,000
  5. Step 5: Solve for x
    x = 127,949,290,000/165,746
  6. Step 6: Final answer
    x = 771,960.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.