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Finding the Third Proportional to 233,985.38 and 342,203.06

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Solution

The third proportional to 233,985.38 and 342,203.06 is: 500,471.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,985.38 : 342,203.06 = 342,203.06 : x
  2. Step 2: Convert to fraction form
    233,985.38/342,203.06 = 342,203.06/x
  3. Step 3: Cross multiply
    233,985.38x = 342,203.06 × 342,203.06
  4. Step 4: Simplify right side
    233,985.38x = 117,102,935,984.38
  5. Step 5: Solve for x
    x = 117,102,935,984.38/233,985.38
  6. Step 6: Final answer
    x = 500,471.18

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.