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Finding the Third Proportional to 147,390 and 223,893

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Solution

The third proportional to 147,390 and 223,893 is: 340,105.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,390 : 223,893 = 223,893 : x
  2. Step 2: Convert to fraction form
    147,390/223,893 = 223,893/x
  3. Step 3: Cross multiply
    147,390x = 223,893 × 223,893
  4. Step 4: Simplify right side
    147,390x = 50,128,075,449
  5. Step 5: Solve for x
    x = 50,128,075,449/147,390
  6. Step 6: Final answer
    x = 340,105.00

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.