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Finding the Third Proportional to 78,088 and 170,312

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Solution

The third proportional to 78,088 and 170,312 is: 371,454.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,088 : 170,312 = 170,312 : x
  2. Step 2: Convert to fraction form
    78,088/170,312 = 170,312/x
  3. Step 3: Cross multiply
    78,088x = 170,312 × 170,312
  4. Step 4: Simplify right side
    78,088x = 29,006,177,344
  5. Step 5: Solve for x
    x = 29,006,177,344/78,088
  6. Step 6: Final answer
    x = 371,454.99

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.