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Finding the Third Proportional to 149,490 and 218,479.50

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Solution

The third proportional to 149,490 and 218,479.50 is: 319,307.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,490 : 218,479.50 = 218,479.50 : x
  2. Step 2: Convert to fraction form
    149,490/218,479.50 = 218,479.50/x
  3. Step 3: Cross multiply
    149,490x = 218,479.50 × 218,479.50
  4. Step 4: Simplify right side
    149,490x = 47,733,291,920.25
  5. Step 5: Solve for x
    x = 47,733,291,920.25/149,490
  6. Step 6: Final answer
    x = 319,307.59

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.