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Finding the Third Proportional to 165,300 and 358,086

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Solution

The third proportional to 165,300 and 358,086 is: 775,714.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,300 : 358,086 = 358,086 : x
  2. Step 2: Convert to fraction form
    165,300/358,086 = 358,086/x
  3. Step 3: Cross multiply
    165,300x = 358,086 × 358,086
  4. Step 4: Simplify right side
    165,300x = 128,225,583,396
  5. Step 5: Solve for x
    x = 128,225,583,396/165,300
  6. Step 6: Final answer
    x = 775,714.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.