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Finding the Third Proportional to 130,116 and 284,032

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Solution

The third proportional to 130,116 and 284,032 is: 620,017.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,116 : 284,032 = 284,032 : x
  2. Step 2: Convert to fraction form
    130,116/284,032 = 284,032/x
  3. Step 3: Cross multiply
    130,116x = 284,032 × 284,032
  4. Step 4: Simplify right side
    130,116x = 80,674,177,024
  5. Step 5: Solve for x
    x = 80,674,177,024/130,116
  6. Step 6: Final answer
    x = 620,017.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.