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Finding the Third Proportional to 165,624.50 and 357,492.50

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Solution

The third proportional to 165,624.50 and 357,492.50 is: 771,630.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,624.50 : 357,492.50 = 357,492.50 : x
  2. Step 2: Convert to fraction form
    165,624.50/357,492.50 = 357,492.50/x
  3. Step 3: Cross multiply
    165,624.50x = 357,492.50 × 357,492.50
  4. Step 4: Simplify right side
    165,624.50x = 127,800,887,556.25
  5. Step 5: Solve for x
    x = 127,800,887,556.25/165,624.50
  6. Step 6: Final answer
    x = 771,630.33

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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.