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Finding the Third Proportional to 191,392 and 293,784

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Solution

The third proportional to 191,392 and 293,784 is: 450,954.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,392 : 293,784 = 293,784 : x
  2. Step 2: Convert to fraction form
    191,392/293,784 = 293,784/x
  3. Step 3: Cross multiply
    191,392x = 293,784 × 293,784
  4. Step 4: Simplify right side
    191,392x = 86,309,038,656
  5. Step 5: Solve for x
    x = 86,309,038,656/191,392
  6. Step 6: Final answer
    x = 450,954.26

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.