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Finding the Third Proportional to 232,690.50 and 341,642.25

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Solution

The third proportional to 232,690.50 and 341,642.25 is: 501,608.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,690.50 : 341,642.25 = 341,642.25 : x
  2. Step 2: Convert to fraction form
    232,690.50/341,642.25 = 341,642.25/x
  3. Step 3: Cross multiply
    232,690.50x = 341,642.25 × 341,642.25
  4. Step 4: Simplify right side
    232,690.50x = 116,719,426,985.06
  5. Step 5: Solve for x
    x = 116,719,426,985.06/232,690.50
  6. Step 6: Final answer
    x = 501,608.05

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.