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Finding the Third Proportional to 130,532 and 285,030

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Solution

The third proportional to 130,532 and 285,030 is: 622,392.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,532 : 285,030 = 285,030 : x
  2. Step 2: Convert to fraction form
    130,532/285,030 = 285,030/x
  3. Step 3: Cross multiply
    130,532x = 285,030 × 285,030
  4. Step 4: Simplify right side
    130,532x = 81,242,100,900
  5. Step 5: Solve for x
    x = 81,242,100,900/130,532
  6. Step 6: Final answer
    x = 622,392.22

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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.