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Finding the Third Proportional to 105,848.25 and 228,315

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Solution

The third proportional to 105,848.25 and 228,315 is: 492,476.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,848.25 : 228,315 = 228,315 : x
  2. Step 2: Convert to fraction form
    105,848.25/228,315 = 228,315/x
  3. Step 3: Cross multiply
    105,848.25x = 228,315 × 228,315
  4. Step 4: Simplify right side
    105,848.25x = 52,127,739,225
  5. Step 5: Solve for x
    x = 52,127,739,225/105,848.25
  6. Step 6: Final answer
    x = 492,476.16

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Why These Related Problems?

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