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Finding the Third Proportional to 135,592.50 and 297,033

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Solution

The third proportional to 135,592.50 and 297,033 is: 650,689.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,592.50 : 297,033 = 297,033 : x
  2. Step 2: Convert to fraction form
    135,592.50/297,033 = 297,033/x
  3. Step 3: Cross multiply
    135,592.50x = 297,033 × 297,033
  4. Step 4: Simplify right side
    135,592.50x = 88,228,603,089
  5. Step 5: Solve for x
    x = 88,228,603,089/135,592.50
  6. Step 6: Final answer
    x = 650,689.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.