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Finding the Third Proportional to 74,878 and 163,574

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Solution

The third proportional to 74,878 and 163,574 is: 357,333.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,878 : 163,574 = 163,574 : x
  2. Step 2: Convert to fraction form
    74,878/163,574 = 163,574/x
  3. Step 3: Cross multiply
    74,878x = 163,574 × 163,574
  4. Step 4: Simplify right side
    74,878x = 26,756,453,476
  5. Step 5: Solve for x
    x = 26,756,453,476/74,878
  6. Step 6: Final answer
    x = 357,333.98

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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.