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Finding the Third Proportional to 191,616 and 403,076

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Solution

The third proportional to 191,616 and 403,076 is: 847,895.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,616 : 403,076 = 403,076 : x
  2. Step 2: Convert to fraction form
    191,616/403,076 = 403,076/x
  3. Step 3: Cross multiply
    191,616x = 403,076 × 403,076
  4. Step 4: Simplify right side
    191,616x = 162,470,261,776
  5. Step 5: Solve for x
    x = 162,470,261,776/191,616
  6. Step 6: Final answer
    x = 847,895.07

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.