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Finding the Third Proportional to 158,681 and 243,057

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Solution

The third proportional to 158,681 and 243,057 is: 372,298.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,681 : 243,057 = 243,057 : x
  2. Step 2: Convert to fraction form
    158,681/243,057 = 243,057/x
  3. Step 3: Cross multiply
    158,681x = 243,057 × 243,057
  4. Step 4: Simplify right side
    158,681x = 59,076,705,249
  5. Step 5: Solve for x
    x = 59,076,705,249/158,681
  6. Step 6: Final answer
    x = 372,298.54

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.