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Finding the Third Proportional to 163,463 and 245,359

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Solution

The third proportional to 163,463 and 245,359 is: 368,285.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,463 : 245,359 = 245,359 : x
  2. Step 2: Convert to fraction form
    163,463/245,359 = 245,359/x
  3. Step 3: Cross multiply
    163,463x = 245,359 × 245,359
  4. Step 4: Simplify right side
    163,463x = 60,201,038,881
  5. Step 5: Solve for x
    x = 60,201,038,881/163,463
  6. Step 6: Final answer
    x = 368,285.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.