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Finding the Third Proportional to 165,609 and 357,448.50

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Solution

The third proportional to 165,609 and 357,448.50 is: 771,512.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,609 : 357,448.50 = 357,448.50 : x
  2. Step 2: Convert to fraction form
    165,609/357,448.50 = 357,448.50/x
  3. Step 3: Cross multiply
    165,609x = 357,448.50 × 357,448.50
  4. Step 4: Simplify right side
    165,609x = 127,769,430,152.25
  5. Step 5: Solve for x
    x = 127,769,430,152.25/165,609
  6. Step 6: Final answer
    x = 771,512.60

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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.