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Finding the Third Proportional to 147,620 and 235,004

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Solution

The third proportional to 147,620 and 235,004 is: 374,115.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,620 : 235,004 = 235,004 : x
  2. Step 2: Convert to fraction form
    147,620/235,004 = 235,004/x
  3. Step 3: Cross multiply
    147,620x = 235,004 × 235,004
  4. Step 4: Simplify right side
    147,620x = 55,226,880,016
  5. Step 5: Solve for x
    x = 55,226,880,016/147,620
  6. Step 6: Final answer
    x = 374,115.16

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.