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Finding the Third Proportional to 192,895 and 286,547

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Solution

The third proportional to 192,895 and 286,547 is: 425,667.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,895 : 286,547 = 286,547 : x
  2. Step 2: Convert to fraction form
    192,895/286,547 = 286,547/x
  3. Step 3: Cross multiply
    192,895x = 286,547 × 286,547
  4. Step 4: Simplify right side
    192,895x = 82,109,183,209
  5. Step 5: Solve for x
    x = 82,109,183,209/192,895
  6. Step 6: Final answer
    x = 425,667.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.