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Finding the Third Proportional to 163,042 and 238,723

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Solution

The third proportional to 163,042 and 238,723 is: 349,533.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,042 : 238,723 = 238,723 : x
  2. Step 2: Convert to fraction form
    163,042/238,723 = 238,723/x
  3. Step 3: Cross multiply
    163,042x = 238,723 × 238,723
  4. Step 4: Simplify right side
    163,042x = 56,988,670,729
  5. Step 5: Solve for x
    x = 56,988,670,729/163,042
  6. Step 6: Final answer
    x = 349,533.68

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.