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Finding the Third Proportional to 153,009 and 223,641

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Solution

The third proportional to 153,009 and 223,641 is: 326,878.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,009 : 223,641 = 223,641 : x
  2. Step 2: Convert to fraction form
    153,009/223,641 = 223,641/x
  3. Step 3: Cross multiply
    153,009x = 223,641 × 223,641
  4. Step 4: Simplify right side
    153,009x = 50,015,296,881
  5. Step 5: Solve for x
    x = 50,015,296,881/153,009
  6. Step 6: Final answer
    x = 326,878.14

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.