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Finding the Third Proportional to 191,610 and 403,070

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Solution

The third proportional to 191,610 and 403,070 is: 847,896.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,610 : 403,070 = 403,070 : x
  2. Step 2: Convert to fraction form
    191,610/403,070 = 403,070/x
  3. Step 3: Cross multiply
    191,610x = 403,070 × 403,070
  4. Step 4: Simplify right side
    191,610x = 162,465,424,900
  5. Step 5: Solve for x
    x = 162,465,424,900/191,610
  6. Step 6: Final answer
    x = 847,896.38

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Why These Related Problems?

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