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Finding the Third Proportional to 233,988 and 342,207

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Solution

The third proportional to 233,988 and 342,207 is: 500,477.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,988 : 342,207 = 342,207 : x
  2. Step 2: Convert to fraction form
    233,988/342,207 = 342,207/x
  3. Step 3: Cross multiply
    233,988x = 342,207 × 342,207
  4. Step 4: Simplify right side
    233,988x = 117,105,630,849
  5. Step 5: Solve for x
    x = 117,105,630,849/233,988
  6. Step 6: Final answer
    x = 500,477.08

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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.