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Finding the Third Proportional to 144,574.50 and 313,281

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Solution

The third proportional to 144,574.50 and 313,281 is: 678,854.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,574.50 : 313,281 = 313,281 : x
  2. Step 2: Convert to fraction form
    144,574.50/313,281 = 313,281/x
  3. Step 3: Cross multiply
    144,574.50x = 313,281 × 313,281
  4. Step 4: Simplify right side
    144,574.50x = 98,144,984,961
  5. Step 5: Solve for x
    x = 98,144,984,961/144,574.50
  6. Step 6: Final answer
    x = 678,854.05

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.