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Finding the Third Proportional to 151,146 and 329,923.13

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Solution

The third proportional to 151,146 and 329,923.13 is: 720,159.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,146 : 329,923.13 = 329,923.13 : x
  2. Step 2: Convert to fraction form
    151,146/329,923.13 = 329,923.13/x
  3. Step 3: Cross multiply
    151,146x = 329,923.13 × 329,923.13
  4. Step 4: Simplify right side
    151,146x = 108,849,268,409.77
  5. Step 5: Solve for x
    x = 108,849,268,409.77/151,146
  6. Step 6: Final answer
    x = 720,159.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.