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Finding the Third Proportional to 163,946 and 245,919

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Solution

The third proportional to 163,946 and 245,919 is: 368,878.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,946 : 245,919 = 245,919 : x
  2. Step 2: Convert to fraction form
    163,946/245,919 = 245,919/x
  3. Step 3: Cross multiply
    163,946x = 245,919 × 245,919
  4. Step 4: Simplify right side
    163,946x = 60,476,154,561
  5. Step 5: Solve for x
    x = 60,476,154,561/163,946
  6. Step 6: Final answer
    x = 368,878.50

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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.