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Finding the Third Proportional to 145,591.59 and 311,423.91

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Solution

The third proportional to 145,591.59 and 311,423.91 is: 666,143.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,591.59 : 311,423.91 = 311,423.91 : x
  2. Step 2: Convert to fraction form
    145,591.59/311,423.91 = 311,423.91/x
  3. Step 3: Cross multiply
    145,591.59x = 311,423.91 × 311,423.91
  4. Step 4: Simplify right side
    145,591.59x = 96,984,849,384.01
  5. Step 5: Solve for x
    x = 96,984,849,384.01/145,591.59
  6. Step 6: Final answer
    x = 666,143.19

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.