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Finding the Third Proportional to 145,628 and 220,697.50

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Solution

The third proportional to 145,628 and 220,697.50 is: 334,464.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,628 : 220,697.50 = 220,697.50 : x
  2. Step 2: Convert to fraction form
    145,628/220,697.50 = 220,697.50/x
  3. Step 3: Cross multiply
    145,628x = 220,697.50 × 220,697.50
  4. Step 4: Simplify right side
    145,628x = 48,707,386,506.25
  5. Step 5: Solve for x
    x = 48,707,386,506.25/145,628
  6. Step 6: Final answer
    x = 334,464.43

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.