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Finding the Third Proportional to 153,008 and 224,844

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Solution

The third proportional to 153,008 and 224,844 is: 330,406.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,008 : 224,844 = 224,844 : x
  2. Step 2: Convert to fraction form
    153,008/224,844 = 224,844/x
  3. Step 3: Cross multiply
    153,008x = 224,844 × 224,844
  4. Step 4: Simplify right side
    153,008x = 50,554,824,336
  5. Step 5: Solve for x
    x = 50,554,824,336/153,008
  6. Step 6: Final answer
    x = 330,406.41

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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.