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Finding the Third Proportional to 78,244 and 167,557

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Solution

The third proportional to 78,244 and 167,557 is: 358,817.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,244 : 167,557 = 167,557 : x
  2. Step 2: Convert to fraction form
    78,244/167,557 = 167,557/x
  3. Step 3: Cross multiply
    78,244x = 167,557 × 167,557
  4. Step 4: Simplify right side
    78,244x = 28,075,348,249
  5. Step 5: Solve for x
    x = 28,075,348,249/78,244
  6. Step 6: Final answer
    x = 358,817.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.