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Finding the Third Proportional to 196,068 and 293,319

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Solution

The third proportional to 196,068 and 293,319 is: 438,807.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,068 : 293,319 = 293,319 : x
  2. Step 2: Convert to fraction form
    196,068/293,319 = 293,319/x
  3. Step 3: Cross multiply
    196,068x = 293,319 × 293,319
  4. Step 4: Simplify right side
    196,068x = 86,036,035,761
  5. Step 5: Solve for x
    x = 86,036,035,761/196,068
  6. Step 6: Final answer
    x = 438,807.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.