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Finding the Third Proportional to 230,202 and 355,144.50

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Solution

The third proportional to 230,202 and 355,144.50 is: 547,899.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,202 : 355,144.50 = 355,144.50 : x
  2. Step 2: Convert to fraction form
    230,202/355,144.50 = 355,144.50/x
  3. Step 3: Cross multiply
    230,202x = 355,144.50 × 355,144.50
  4. Step 4: Simplify right side
    230,202x = 126,127,615,880.25
  5. Step 5: Solve for x
    x = 126,127,615,880.25/230,202
  6. Step 6: Final answer
    x = 547,899.74

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.