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Finding the Third Proportional to 191,634.19 and 403,130.25

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Solution

The third proportional to 191,634.19 and 403,130.25 is: 848,042.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,634.19 : 403,130.25 = 403,130.25 : x
  2. Step 2: Convert to fraction form
    191,634.19/403,130.25 = 403,130.25/x
  3. Step 3: Cross multiply
    191,634.19x = 403,130.25 × 403,130.25
  4. Step 4: Simplify right side
    191,634.19x = 162,513,998,465.06
  5. Step 5: Solve for x
    x = 162,513,998,465.06/191,634.19
  6. Step 6: Final answer
    x = 848,042.83

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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.