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Finding the Third Proportional to 153,051 and 324,627

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Solution

The third proportional to 153,051 and 324,627 is: 688,546.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,051 : 324,627 = 324,627 : x
  2. Step 2: Convert to fraction form
    153,051/324,627 = 324,627/x
  3. Step 3: Cross multiply
    153,051x = 324,627 × 324,627
  4. Step 4: Simplify right side
    153,051x = 105,382,689,129
  5. Step 5: Solve for x
    x = 105,382,689,129/153,051
  6. Step 6: Final answer
    x = 688,546.23

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.