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Finding the Third Proportional to 200,058 and 309,565.50

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Solution

The third proportional to 200,058 and 309,565.50 is: 479,015.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,058 : 309,565.50 = 309,565.50 : x
  2. Step 2: Convert to fraction form
    200,058/309,565.50 = 309,565.50/x
  3. Step 3: Cross multiply
    200,058x = 309,565.50 × 309,565.50
  4. Step 4: Simplify right side
    200,058x = 95,830,798,790.25
  5. Step 5: Solve for x
    x = 95,830,798,790.25/200,058
  6. Step 6: Final answer
    x = 479,015.08

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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.