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Finding the Third Proportional to 180,495 and 270,742.50

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Solution

The third proportional to 180,495 and 270,742.50 is: 406,113.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,495 : 270,742.50 = 270,742.50 : x
  2. Step 2: Convert to fraction form
    180,495/270,742.50 = 270,742.50/x
  3. Step 3: Cross multiply
    180,495x = 270,742.50 × 270,742.50
  4. Step 4: Simplify right side
    180,495x = 73,301,501,306.25
  5. Step 5: Solve for x
    x = 73,301,501,306.25/180,495
  6. Step 6: Final answer
    x = 406,113.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.