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Finding the Third Proportional to 272,530 and 425,347.50

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Solution

The third proportional to 272,530 and 425,347.50 is: 663,855.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,530 : 425,347.50 = 425,347.50 : x
  2. Step 2: Convert to fraction form
    272,530/425,347.50 = 425,347.50/x
  3. Step 3: Cross multiply
    272,530x = 425,347.50 × 425,347.50
  4. Step 4: Simplify right side
    272,530x = 180,920,495,756.25
  5. Step 5: Solve for x
    x = 180,920,495,756.25/272,530
  6. Step 6: Final answer
    x = 663,855.34

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.