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Finding the Third Proportional to 83,312 and 183,328

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Solution

The third proportional to 83,312 and 183,328 is: 403,413.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,312 : 183,328 = 183,328 : x
  2. Step 2: Convert to fraction form
    83,312/183,328 = 183,328/x
  3. Step 3: Cross multiply
    83,312x = 183,328 × 183,328
  4. Step 4: Simplify right side
    83,312x = 33,609,155,584
  5. Step 5: Solve for x
    x = 33,609,155,584/83,312
  6. Step 6: Final answer
    x = 403,413.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.