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Finding the Third Proportional to 162,765 and 251,995.50

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Solution

The third proportional to 162,765 and 251,995.50 is: 390,143.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,765 : 251,995.50 = 251,995.50 : x
  2. Step 2: Convert to fraction form
    162,765/251,995.50 = 251,995.50/x
  3. Step 3: Cross multiply
    162,765x = 251,995.50 × 251,995.50
  4. Step 4: Simplify right side
    162,765x = 63,501,732,020.25
  5. Step 5: Solve for x
    x = 63,501,732,020.25/162,765
  6. Step 6: Final answer
    x = 390,143.66

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.