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Finding the Third Proportional to 137,250.50 and 297,411

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Solution

The third proportional to 137,250.50 and 297,411 is: 644,466.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,250.50 : 297,411 = 297,411 : x
  2. Step 2: Convert to fraction form
    137,250.50/297,411 = 297,411/x
  3. Step 3: Cross multiply
    137,250.50x = 297,411 × 297,411
  4. Step 4: Simplify right side
    137,250.50x = 88,453,302,921
  5. Step 5: Solve for x
    x = 88,453,302,921/137,250.50
  6. Step 6: Final answer
    x = 644,466.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.