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Finding the Third Proportional to 147,564 and 322,830

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Solution

The third proportional to 147,564 and 322,830 is: 706,264.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,564 : 322,830 = 322,830 : x
  2. Step 2: Convert to fraction form
    147,564/322,830 = 322,830/x
  3. Step 3: Cross multiply
    147,564x = 322,830 × 322,830
  4. Step 4: Simplify right side
    147,564x = 104,219,208,900
  5. Step 5: Solve for x
    x = 104,219,208,900/147,564
  6. Step 6: Final answer
    x = 706,264.46

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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.