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Finding the Third Proportional to 147,617 and 229,202

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Solution

The third proportional to 147,617 and 229,202 is: 355,877.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,617 : 229,202 = 229,202 : x
  2. Step 2: Convert to fraction form
    147,617/229,202 = 229,202/x
  3. Step 3: Cross multiply
    147,617x = 229,202 × 229,202
  4. Step 4: Simplify right side
    147,617x = 52,533,556,804
  5. Step 5: Solve for x
    x = 52,533,556,804/147,617
  6. Step 6: Final answer
    x = 355,877.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.