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Finding the Third Proportional to 145,265.25 and 313,872.13

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Solution

The third proportional to 145,265.25 and 313,872.13 is: 678,178.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,265.25 : 313,872.13 = 313,872.13 : x
  2. Step 2: Convert to fraction form
    145,265.25/313,872.13 = 313,872.13/x
  3. Step 3: Cross multiply
    145,265.25x = 313,872.13 × 313,872.13
  4. Step 4: Simplify right side
    145,265.25x = 98,515,710,852.02
  5. Step 5: Solve for x
    x = 98,515,710,852.02/145,265.25
  6. Step 6: Final answer
    x = 678,178.10

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.