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Finding the Third Proportional to 152,229 and 326,904

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Solution

The third proportional to 152,229 and 326,904 is: 702,009.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,229 : 326,904 = 326,904 : x
  2. Step 2: Convert to fraction form
    152,229/326,904 = 326,904/x
  3. Step 3: Cross multiply
    152,229x = 326,904 × 326,904
  4. Step 4: Simplify right side
    152,229x = 106,866,225,216
  5. Step 5: Solve for x
    x = 106,866,225,216/152,229
  6. Step 6: Final answer
    x = 702,009.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.