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Finding the Third Proportional to 105,228 and 232,607.25

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Solution

The third proportional to 105,228 and 232,607.25 is: 514,180.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,228 : 232,607.25 = 232,607.25 : x
  2. Step 2: Convert to fraction form
    105,228/232,607.25 = 232,607.25/x
  3. Step 3: Cross multiply
    105,228x = 232,607.25 × 232,607.25
  4. Step 4: Simplify right side
    105,228x = 54,106,132,752.56
  5. Step 5: Solve for x
    x = 54,106,132,752.56/105,228
  6. Step 6: Final answer
    x = 514,180.00

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.