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Finding the Third Proportional to 147,798 and 229,322

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Solution

The third proportional to 147,798 and 229,322 is: 355,813.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,798 : 229,322 = 229,322 : x
  2. Step 2: Convert to fraction form
    147,798/229,322 = 229,322/x
  3. Step 3: Cross multiply
    147,798x = 229,322 × 229,322
  4. Step 4: Simplify right side
    147,798x = 52,588,579,684
  5. Step 5: Solve for x
    x = 52,588,579,684/147,798
  6. Step 6: Final answer
    x = 355,813.88

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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.