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Finding the Third Proportional to 230,298.50 and 338,862

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Solution

The third proportional to 230,298.50 and 338,862 is: 498,602.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,298.50 : 338,862 = 338,862 : x
  2. Step 2: Convert to fraction form
    230,298.50/338,862 = 338,862/x
  3. Step 3: Cross multiply
    230,298.50x = 338,862 × 338,862
  4. Step 4: Simplify right side
    230,298.50x = 114,827,455,044
  5. Step 5: Solve for x
    x = 114,827,455,044/230,298.50
  6. Step 6: Final answer
    x = 498,602.70

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.