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Finding the Third Proportional to 242,464 and 326,152

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Solution

The third proportional to 242,464 and 326,152 is: 438,725.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,464 : 326,152 = 326,152 : x
  2. Step 2: Convert to fraction form
    242,464/326,152 = 326,152/x
  3. Step 3: Cross multiply
    242,464x = 326,152 × 326,152
  4. Step 4: Simplify right side
    242,464x = 106,375,127,104
  5. Step 5: Solve for x
    x = 106,375,127,104/242,464
  6. Step 6: Final answer
    x = 438,725.45

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.