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Finding the Third Proportional to 148,051 and 325,627

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Solution

The third proportional to 148,051 and 325,627 is: 716,192.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,051 : 325,627 = 325,627 : x
  2. Step 2: Convert to fraction form
    148,051/325,627 = 325,627/x
  3. Step 3: Cross multiply
    148,051x = 325,627 × 325,627
  4. Step 4: Simplify right side
    148,051x = 106,032,943,129
  5. Step 5: Solve for x
    x = 106,032,943,129/148,051
  6. Step 6: Final answer
    x = 716,192.01

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.