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Finding the Third Proportional to 191,862 and 300,316

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Solution

The third proportional to 191,862 and 300,316 is: 470,075.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,862 : 300,316 = 300,316 : x
  2. Step 2: Convert to fraction form
    191,862/300,316 = 300,316/x
  3. Step 3: Cross multiply
    191,862x = 300,316 × 300,316
  4. Step 4: Simplify right side
    191,862x = 90,189,699,856
  5. Step 5: Solve for x
    x = 90,189,699,856/191,862
  6. Step 6: Final answer
    x = 470,075.89

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.