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Finding the Third Proportional to 180,157.50 and 278,977.50

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Solution

The third proportional to 180,157.50 and 278,977.50 is: 432,002.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,157.50 : 278,977.50 = 278,977.50 : x
  2. Step 2: Convert to fraction form
    180,157.50/278,977.50 = 278,977.50/x
  3. Step 3: Cross multiply
    180,157.50x = 278,977.50 × 278,977.50
  4. Step 4: Simplify right side
    180,157.50x = 77,828,445,506.25
  5. Step 5: Solve for x
    x = 77,828,445,506.25/180,157.50
  6. Step 6: Final answer
    x = 432,002.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.