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Finding the Third Proportional to 199,316 and 291,300

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Solution

The third proportional to 199,316 and 291,300 is: 425,734.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,316 : 291,300 = 291,300 : x
  2. Step 2: Convert to fraction form
    199,316/291,300 = 291,300/x
  3. Step 3: Cross multiply
    199,316x = 291,300 × 291,300
  4. Step 4: Simplify right side
    199,316x = 84,855,690,000
  5. Step 5: Solve for x
    x = 84,855,690,000/199,316
  6. Step 6: Final answer
    x = 425,734.46

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.