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Finding the Third Proportional to 233,484.75 and 342,479.25

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Solution

The third proportional to 233,484.75 and 342,479.25 is: 502,354.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,484.75 : 342,479.25 = 342,479.25 : x
  2. Step 2: Convert to fraction form
    233,484.75/342,479.25 = 342,479.25/x
  3. Step 3: Cross multiply
    233,484.75x = 342,479.25 × 342,479.25
  4. Step 4: Simplify right side
    233,484.75x = 117,292,036,680.56
  5. Step 5: Solve for x
    x = 117,292,036,680.56/233,484.75
  6. Step 6: Final answer
    x = 502,354.17

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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.