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Finding the Third Proportional to 148,533.75 and 320,741.02

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Solution

The third proportional to 148,533.75 and 320,741.02 is: 692,602.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,533.75 : 320,741.02 = 320,741.02 : x
  2. Step 2: Convert to fraction form
    148,533.75/320,741.02 = 320,741.02/x
  3. Step 3: Cross multiply
    148,533.75x = 320,741.02 × 320,741.02
  4. Step 4: Simplify right side
    148,533.75x = 102,874,799,104.16
  5. Step 5: Solve for x
    x = 102,874,799,104.16/148,533.75
  6. Step 6: Final answer
    x = 692,602.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.