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Finding the Third Proportional to 191,703 and 403,237

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Solution

The third proportional to 191,703 and 403,237 is: 848,187.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,703 : 403,237 = 403,237 : x
  2. Step 2: Convert to fraction form
    191,703/403,237 = 403,237/x
  3. Step 3: Cross multiply
    191,703x = 403,237 × 403,237
  4. Step 4: Simplify right side
    191,703x = 162,600,078,169
  5. Step 5: Solve for x
    x = 162,600,078,169/191,703
  6. Step 6: Final answer
    x = 848,187.45

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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.