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Finding the Third Proportional to 163,280 and 252,201

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Solution

The third proportional to 163,280 and 252,201 is: 389,547.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,280 : 252,201 = 252,201 : x
  2. Step 2: Convert to fraction form
    163,280/252,201 = 252,201/x
  3. Step 3: Cross multiply
    163,280x = 252,201 × 252,201
  4. Step 4: Simplify right side
    163,280x = 63,605,344,401
  5. Step 5: Solve for x
    x = 63,605,344,401/163,280
  6. Step 6: Final answer
    x = 389,547.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.