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Finding the Third Proportional to 153,819 and 340,807.50

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Solution

The third proportional to 153,819 and 340,807.50 is: 755,106.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,819 : 340,807.50 = 340,807.50 : x
  2. Step 2: Convert to fraction form
    153,819/340,807.50 = 340,807.50/x
  3. Step 3: Cross multiply
    153,819x = 340,807.50 × 340,807.50
  4. Step 4: Simplify right side
    153,819x = 116,149,752,056.25
  5. Step 5: Solve for x
    x = 116,149,752,056.25/153,819
  6. Step 6: Final answer
    x = 755,106.66

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.