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Finding the Third Proportional to 214,368 and 326,544

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Solution

The third proportional to 214,368 and 326,544 is: 497,420.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,368 : 326,544 = 326,544 : x
  2. Step 2: Convert to fraction form
    214,368/326,544 = 326,544/x
  3. Step 3: Cross multiply
    214,368x = 326,544 × 326,544
  4. Step 4: Simplify right side
    214,368x = 106,630,983,936
  5. Step 5: Solve for x
    x = 106,630,983,936/214,368
  6. Step 6: Final answer
    x = 497,420.25

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.