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Finding the Third Proportional to 153,444.38 and 334,767.94

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Solution

The third proportional to 153,444.38 and 334,767.94 is: 730,359.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,444.38 : 334,767.94 = 334,767.94 : x
  2. Step 2: Convert to fraction form
    153,444.38/334,767.94 = 334,767.94/x
  3. Step 3: Cross multiply
    153,444.38x = 334,767.94 × 334,767.94
  4. Step 4: Simplify right side
    153,444.38x = 112,069,571,978.00
  5. Step 5: Solve for x
    x = 112,069,571,978.00/153,444.38
  6. Step 6: Final answer
    x = 730,359.60

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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.