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Finding the Third Proportional to 261,558.28 and 370,206.70

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Solution

The third proportional to 261,558.28 and 370,206.70 is: 523,986.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,558.28 : 370,206.70 = 370,206.70 : x
  2. Step 2: Convert to fraction form
    261,558.28/370,206.70 = 370,206.70/x
  3. Step 3: Cross multiply
    261,558.28x = 370,206.70 × 370,206.70
  4. Step 4: Simplify right side
    261,558.28x = 137,053,003,038.68
  5. Step 5: Solve for x
    x = 137,053,003,038.68/261,558.28
  6. Step 6: Final answer
    x = 523,986.48

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.