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Finding the Third Proportional to 233,134 and 360,030

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Solution

The third proportional to 233,134 and 360,030 is: 555,996.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,134 : 360,030 = 360,030 : x
  2. Step 2: Convert to fraction form
    233,134/360,030 = 360,030/x
  3. Step 3: Cross multiply
    233,134x = 360,030 × 360,030
  4. Step 4: Simplify right side
    233,134x = 129,621,600,900
  5. Step 5: Solve for x
    x = 129,621,600,900/233,134
  6. Step 6: Final answer
    x = 555,996.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.