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Finding the Third Proportional to 228,047 and 357,736.50

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Solution

The third proportional to 228,047 and 357,736.50 is: 561,179.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,047 : 357,736.50 = 357,736.50 : x
  2. Step 2: Convert to fraction form
    228,047/357,736.50 = 357,736.50/x
  3. Step 3: Cross multiply
    228,047x = 357,736.50 × 357,736.50
  4. Step 4: Simplify right side
    228,047x = 127,975,403,432.25
  5. Step 5: Solve for x
    x = 127,975,403,432.25/228,047
  6. Step 6: Final answer
    x = 561,179.95

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.