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Finding the Third Proportional to 191,608 and 403,066

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Solution

The third proportional to 191,608 and 403,066 is: 847,888.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,608 : 403,066 = 403,066 : x
  2. Step 2: Convert to fraction form
    191,608/403,066 = 403,066/x
  3. Step 3: Cross multiply
    191,608x = 403,066 × 403,066
  4. Step 4: Simplify right side
    191,608x = 162,462,200,356
  5. Step 5: Solve for x
    x = 162,462,200,356/191,608
  6. Step 6: Final answer
    x = 847,888.40

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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.