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Finding the Third Proportional to 153,576 and 334,989

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Solution

The third proportional to 153,576 and 334,989 is: 730,697.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,576 : 334,989 = 334,989 : x
  2. Step 2: Convert to fraction form
    153,576/334,989 = 334,989/x
  3. Step 3: Cross multiply
    153,576x = 334,989 × 334,989
  4. Step 4: Simplify right side
    153,576x = 112,217,630,121
  5. Step 5: Solve for x
    x = 112,217,630,121/153,576
  6. Step 6: Final answer
    x = 730,697.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.