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Finding the Third Proportional to 153,004 and 224,838

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Solution

The third proportional to 153,004 and 224,838 is: 330,397.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,004 : 224,838 = 224,838 : x
  2. Step 2: Convert to fraction form
    153,004/224,838 = 224,838/x
  3. Step 3: Cross multiply
    153,004x = 224,838 × 224,838
  4. Step 4: Simplify right side
    153,004x = 50,552,126,244
  5. Step 5: Solve for x
    x = 50,552,126,244/153,004
  6. Step 6: Final answer
    x = 330,397.42

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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.