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Finding the Third Proportional to 150,030 and 354,154.50

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Solution

The third proportional to 150,030 and 354,154.50 is: 836,002.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,030 : 354,154.50 = 354,154.50 : x
  2. Step 2: Convert to fraction form
    150,030/354,154.50 = 354,154.50/x
  3. Step 3: Cross multiply
    150,030x = 354,154.50 × 354,154.50
  4. Step 4: Simplify right side
    150,030x = 125,425,409,870.25
  5. Step 5: Solve for x
    x = 125,425,409,870.25/150,030
  6. Step 6: Final answer
    x = 836,002.20

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.