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Finding the Third Proportional to 146,018.25 and 316,822.50

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Solution

The third proportional to 146,018.25 and 316,822.50 is: 687,424.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,018.25 : 316,822.50 = 316,822.50 : x
  2. Step 2: Convert to fraction form
    146,018.25/316,822.50 = 316,822.50/x
  3. Step 3: Cross multiply
    146,018.25x = 316,822.50 × 316,822.50
  4. Step 4: Simplify right side
    146,018.25x = 100,376,496,506.25
  5. Step 5: Solve for x
    x = 100,376,496,506.25/146,018.25
  6. Step 6: Final answer
    x = 687,424.32

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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.