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Finding the Third Proportional to 145,848 and 200,952

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Solution

The third proportional to 145,848 and 200,952 is: 276,875.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,848 : 200,952 = 200,952 : x
  2. Step 2: Convert to fraction form
    145,848/200,952 = 200,952/x
  3. Step 3: Cross multiply
    145,848x = 200,952 × 200,952
  4. Step 4: Simplify right side
    145,848x = 40,381,706,304
  5. Step 5: Solve for x
    x = 40,381,706,304/145,848
  6. Step 6: Final answer
    x = 276,875.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.