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Finding the Third Proportional to 155,256.50 and 234,360.50

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Solution

The third proportional to 155,256.50 and 234,360.50 is: 353,768.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,256.50 : 234,360.50 = 234,360.50 : x
  2. Step 2: Convert to fraction form
    155,256.50/234,360.50 = 234,360.50/x
  3. Step 3: Cross multiply
    155,256.50x = 234,360.50 × 234,360.50
  4. Step 4: Simplify right side
    155,256.50x = 54,924,843,960.25
  5. Step 5: Solve for x
    x = 54,924,843,960.25/155,256.50
  6. Step 6: Final answer
    x = 353,768.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.