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Finding the Third Proportional to 229,399.50 and 361,509.75

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Solution

The third proportional to 229,399.50 and 361,509.75 is: 569,701.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,399.50 : 361,509.75 = 361,509.75 : x
  2. Step 2: Convert to fraction form
    229,399.50/361,509.75 = 361,509.75/x
  3. Step 3: Cross multiply
    229,399.50x = 361,509.75 × 361,509.75
  4. Step 4: Simplify right side
    229,399.50x = 130,689,299,345.06
  5. Step 5: Solve for x
    x = 130,689,299,345.06/229,399.50
  6. Step 6: Final answer
    x = 569,701.76

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.