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Finding the Third Proportional to 234,032 and 334,423

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Solution

The third proportional to 234,032 and 334,423 is: 477,878.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,032 : 334,423 = 334,423 : x
  2. Step 2: Convert to fraction form
    234,032/334,423 = 334,423/x
  3. Step 3: Cross multiply
    234,032x = 334,423 × 334,423
  4. Step 4: Simplify right side
    234,032x = 111,838,742,929
  5. Step 5: Solve for x
    x = 111,838,742,929/234,032
  6. Step 6: Final answer
    x = 477,878.00

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.