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Finding the Third Proportional to 153,510 and 330,348

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Solution

The third proportional to 153,510 and 330,348 is: 710,897.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,510 : 330,348 = 330,348 : x
  2. Step 2: Convert to fraction form
    153,510/330,348 = 330,348/x
  3. Step 3: Cross multiply
    153,510x = 330,348 × 330,348
  4. Step 4: Simplify right side
    153,510x = 109,129,801,104
  5. Step 5: Solve for x
    x = 109,129,801,104/153,510
  6. Step 6: Final answer
    x = 710,897.02

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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.