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Finding the Third Proportional to 190,786 and 302,046

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Solution

The third proportional to 190,786 and 302,046 is: 478,189.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,786 : 302,046 = 302,046 : x
  2. Step 2: Convert to fraction form
    190,786/302,046 = 302,046/x
  3. Step 3: Cross multiply
    190,786x = 302,046 × 302,046
  4. Step 4: Simplify right side
    190,786x = 91,231,786,116
  5. Step 5: Solve for x
    x = 91,231,786,116/190,786
  6. Step 6: Final answer
    x = 478,189.10

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.