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Finding the Third Proportional to 152,216 and 328,823

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Solution

The third proportional to 152,216 and 328,823 is: 710,336.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,216 : 328,823 = 328,823 : x
  2. Step 2: Convert to fraction form
    152,216/328,823 = 328,823/x
  3. Step 3: Cross multiply
    152,216x = 328,823 × 328,823
  4. Step 4: Simplify right side
    152,216x = 108,124,565,329
  5. Step 5: Solve for x
    x = 108,124,565,329/152,216
  6. Step 6: Final answer
    x = 710,336.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.