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Finding the Third Proportional to 151,898.63 and 332,400.38

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Solution

The third proportional to 151,898.63 and 332,400.38 is: 727,393.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,898.63 : 332,400.38 = 332,400.38 : x
  2. Step 2: Convert to fraction form
    151,898.63/332,400.38 = 332,400.38/x
  3. Step 3: Cross multiply
    151,898.63x = 332,400.38 × 332,400.38
  4. Step 4: Simplify right side
    151,898.63x = 110,490,009,300.14
  5. Step 5: Solve for x
    x = 110,490,009,300.14/151,898.63
  6. Step 6: Final answer
    x = 727,393.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.