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Finding the Third Proportional to 147,592 and 322,888

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Solution

The third proportional to 147,592 and 322,888 is: 706,384.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,592 : 322,888 = 322,888 : x
  2. Step 2: Convert to fraction form
    147,592/322,888 = 322,888/x
  3. Step 3: Cross multiply
    147,592x = 322,888 × 322,888
  4. Step 4: Simplify right side
    147,592x = 104,256,660,544
  5. Step 5: Solve for x
    x = 104,256,660,544/147,592
  6. Step 6: Final answer
    x = 706,384.23

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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.