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Finding the Third Proportional to 244,875 and 358,923

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Solution

The third proportional to 244,875 and 358,923 is: 526,087.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,875 : 358,923 = 358,923 : x
  2. Step 2: Convert to fraction form
    244,875/358,923 = 358,923/x
  3. Step 3: Cross multiply
    244,875x = 358,923 × 358,923
  4. Step 4: Simplify right side
    244,875x = 128,825,719,929
  5. Step 5: Solve for x
    x = 128,825,719,929/244,875
  6. Step 6: Final answer
    x = 526,087.68

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.