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Finding the Third Proportional to 147,468 and 322,533

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Solution

The third proportional to 147,468 and 322,533 is: 705,424.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,468 : 322,533 = 322,533 : x
  2. Step 2: Convert to fraction form
    147,468/322,533 = 322,533/x
  3. Step 3: Cross multiply
    147,468x = 322,533 × 322,533
  4. Step 4: Simplify right side
    147,468x = 104,027,536,089
  5. Step 5: Solve for x
    x = 104,027,536,089/147,468
  6. Step 6: Final answer
    x = 705,424.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.