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Finding the Third Proportional to 147,617 and 235,001

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Solution

The third proportional to 147,617 and 235,001 is: 374,113.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,617 : 235,001 = 235,001 : x
  2. Step 2: Convert to fraction form
    147,617/235,001 = 235,001/x
  3. Step 3: Cross multiply
    147,617x = 235,001 × 235,001
  4. Step 4: Simplify right side
    147,617x = 55,225,470,001
  5. Step 5: Solve for x
    x = 55,225,470,001/147,617
  6. Step 6: Final answer
    x = 374,113.21

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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.