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Finding the Third Proportional to 226,045.50 and 309,952.50

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Solution

The third proportional to 226,045.50 and 309,952.50 is: 425,005.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,045.50 : 309,952.50 = 309,952.50 : x
  2. Step 2: Convert to fraction form
    226,045.50/309,952.50 = 309,952.50/x
  3. Step 3: Cross multiply
    226,045.50x = 309,952.50 × 309,952.50
  4. Step 4: Simplify right side
    226,045.50x = 96,070,552,256.25
  5. Step 5: Solve for x
    x = 96,070,552,256.25/226,045.50
  6. Step 6: Final answer
    x = 425,005.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.