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Finding the Third Proportional to 152,133 and 324,627

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Solution

The third proportional to 152,133 and 324,627 is: 692,701.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,133 : 324,627 = 324,627 : x
  2. Step 2: Convert to fraction form
    152,133/324,627 = 324,627/x
  3. Step 3: Cross multiply
    152,133x = 324,627 × 324,627
  4. Step 4: Simplify right side
    152,133x = 105,382,689,129
  5. Step 5: Solve for x
    x = 105,382,689,129/152,133
  6. Step 6: Final answer
    x = 692,701.05

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.