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Finding the Third Proportional to 160,308 and 344,752

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Solution

The third proportional to 160,308 and 344,752 is: 741,409.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,308 : 344,752 = 344,752 : x
  2. Step 2: Convert to fraction form
    160,308/344,752 = 344,752/x
  3. Step 3: Cross multiply
    160,308x = 344,752 × 344,752
  4. Step 4: Simplify right side
    160,308x = 118,853,941,504
  5. Step 5: Solve for x
    x = 118,853,941,504/160,308
  6. Step 6: Final answer
    x = 741,409.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.