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Finding the Third Proportional to 152,977.50 and 215,045.44

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Solution

The third proportional to 152,977.50 and 215,045.44 is: 302,296.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,977.50 : 215,045.44 = 215,045.44 : x
  2. Step 2: Convert to fraction form
    152,977.50/215,045.44 = 215,045.44/x
  3. Step 3: Cross multiply
    152,977.50x = 215,045.44 × 215,045.44
  4. Step 4: Simplify right side
    152,977.50x = 46,244,540,189.57
  5. Step 5: Solve for x
    x = 46,244,540,189.57/152,977.50
  6. Step 6: Final answer
    x = 302,296.35

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.