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Finding the Third Proportional to 238,189.50 and 495,981

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Solution

The third proportional to 238,189.50 and 495,981 is: 1,032,779.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,189.50 : 495,981 = 495,981 : x
  2. Step 2: Convert to fraction form
    238,189.50/495,981 = 495,981/x
  3. Step 3: Cross multiply
    238,189.50x = 495,981 × 495,981
  4. Step 4: Simplify right side
    238,189.50x = 245,997,152,361
  5. Step 5: Solve for x
    x = 245,997,152,361/238,189.50
  6. Step 6: Final answer
    x = 1,032,779.16

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.