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Finding the Third Proportional to 173,352 and 358,320

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Solution

The third proportional to 173,352 and 358,320 is: 740,650.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,352 : 358,320 = 358,320 : x
  2. Step 2: Convert to fraction form
    173,352/358,320 = 358,320/x
  3. Step 3: Cross multiply
    173,352x = 358,320 × 358,320
  4. Step 4: Simplify right side
    173,352x = 128,393,222,400
  5. Step 5: Solve for x
    x = 128,393,222,400/173,352
  6. Step 6: Final answer
    x = 740,650.37

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.