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Finding the Third Proportional to 233,234 and 360,153

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Solution

The third proportional to 233,234 and 360,153 is: 556,137.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,234 : 360,153 = 360,153 : x
  2. Step 2: Convert to fraction form
    233,234/360,153 = 360,153/x
  3. Step 3: Cross multiply
    233,234x = 360,153 × 360,153
  4. Step 4: Simplify right side
    233,234x = 129,710,183,409
  5. Step 5: Solve for x
    x = 129,710,183,409/233,234
  6. Step 6: Final answer
    x = 556,137.54

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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.