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Finding the Third Proportional to 147,598 and 207,114

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Solution

The third proportional to 147,598 and 207,114 is: 290,628.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,598 : 207,114 = 207,114 : x
  2. Step 2: Convert to fraction form
    147,598/207,114 = 207,114/x
  3. Step 3: Cross multiply
    147,598x = 207,114 × 207,114
  4. Step 4: Simplify right side
    147,598x = 42,896,208,996
  5. Step 5: Solve for x
    x = 42,896,208,996/147,598
  6. Step 6: Final answer
    x = 290,628.66

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.