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Finding the Third Proportional to 152,798 and 229,484

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Solution

The third proportional to 152,798 and 229,484 is: 344,657.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,798 : 229,484 = 229,484 : x
  2. Step 2: Convert to fraction form
    152,798/229,484 = 229,484/x
  3. Step 3: Cross multiply
    152,798x = 229,484 × 229,484
  4. Step 4: Simplify right side
    152,798x = 52,662,906,256
  5. Step 5: Solve for x
    x = 52,662,906,256/152,798
  6. Step 6: Final answer
    x = 344,657.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.