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Finding the Third Proportional to 151,807.50 and 226,886.06

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Solution

The third proportional to 151,807.50 and 226,886.06 is: 339,095.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,807.50 : 226,886.06 = 226,886.06 : x
  2. Step 2: Convert to fraction form
    151,807.50/226,886.06 = 226,886.06/x
  3. Step 3: Cross multiply
    151,807.50x = 226,886.06 × 226,886.06
  4. Step 4: Simplify right side
    151,807.50x = 51,477,285,356.75
  5. Step 5: Solve for x
    x = 51,477,285,356.75/151,807.50
  6. Step 6: Final answer
    x = 339,095.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.