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Finding the Third Proportional to 191,808 and 411,840

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Solution

The third proportional to 191,808 and 411,840 is: 884,281.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,808 : 411,840 = 411,840 : x
  2. Step 2: Convert to fraction form
    191,808/411,840 = 411,840/x
  3. Step 3: Cross multiply
    191,808x = 411,840 × 411,840
  4. Step 4: Simplify right side
    191,808x = 169,612,185,600
  5. Step 5: Solve for x
    x = 169,612,185,600/191,808
  6. Step 6: Final answer
    x = 884,281.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.