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Finding the Third Proportional to 165,752 and 357,712

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Solution

The third proportional to 165,752 and 357,712 is: 771,983.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,752 : 357,712 = 357,712 : x
  2. Step 2: Convert to fraction form
    165,752/357,712 = 357,712/x
  3. Step 3: Cross multiply
    165,752x = 357,712 × 357,712
  4. Step 4: Simplify right side
    165,752x = 127,957,874,944
  5. Step 5: Solve for x
    x = 127,957,874,944/165,752
  6. Step 6: Final answer
    x = 771,983.90

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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.