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Finding the Third Proportional to 152,799 and 229,488

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Solution

The third proportional to 152,799 and 229,488 is: 344,666.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,799 : 229,488 = 229,488 : x
  2. Step 2: Convert to fraction form
    152,799/229,488 = 229,488/x
  3. Step 3: Cross multiply
    152,799x = 229,488 × 229,488
  4. Step 4: Simplify right side
    152,799x = 52,664,742,144
  5. Step 5: Solve for x
    x = 52,664,742,144/152,799
  6. Step 6: Final answer
    x = 344,666.80

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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.