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Finding the Third Proportional to 130,396 and 284,152

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Solution

The third proportional to 130,396 and 284,152 is: 619,208.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,396 : 284,152 = 284,152 : x
  2. Step 2: Convert to fraction form
    130,396/284,152 = 284,152/x
  3. Step 3: Cross multiply
    130,396x = 284,152 × 284,152
  4. Step 4: Simplify right side
    130,396x = 80,742,359,104
  5. Step 5: Solve for x
    x = 80,742,359,104/130,396
  6. Step 6: Final answer
    x = 619,208.86

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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.