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Finding the Third Proportional to 250,047.95 and 357,313.15

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Solution

The third proportional to 250,047.95 and 357,313.15 is: 510,592.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,047.95 : 357,313.15 = 357,313.15 : x
  2. Step 2: Convert to fraction form
    250,047.95/357,313.15 = 357,313.15/x
  3. Step 3: Cross multiply
    250,047.95x = 357,313.15 × 357,313.15
  4. Step 4: Simplify right side
    250,047.95x = 127,672,686,046.32
  5. Step 5: Solve for x
    x = 127,672,686,046.32/250,047.95
  6. Step 6: Final answer
    x = 510,592.81

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.