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Finding the Third Proportional to 163,685 and 245,748

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Solution

The third proportional to 163,685 and 245,748 is: 368,953.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,685 : 245,748 = 245,748 : x
  2. Step 2: Convert to fraction form
    163,685/245,748 = 245,748/x
  3. Step 3: Cross multiply
    163,685x = 245,748 × 245,748
  4. Step 4: Simplify right side
    163,685x = 60,392,079,504
  5. Step 5: Solve for x
    x = 60,392,079,504/163,685
  6. Step 6: Final answer
    x = 368,953.05

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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.