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Finding the Third Proportional to 75,297 and 163,711.50

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Solution

The third proportional to 75,297 and 163,711.50 is: 355,943.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,297 : 163,711.50 = 163,711.50 : x
  2. Step 2: Convert to fraction form
    75,297/163,711.50 = 163,711.50/x
  3. Step 3: Cross multiply
    75,297x = 163,711.50 × 163,711.50
  4. Step 4: Simplify right side
    75,297x = 26,801,455,232.25
  5. Step 5: Solve for x
    x = 26,801,455,232.25/75,297
  6. Step 6: Final answer
    x = 355,943.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.