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Finding the Third Proportional to 153,100 and 328,348

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Solution

The third proportional to 153,100 and 328,348 is: 704,196.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,100 : 328,348 = 328,348 : x
  2. Step 2: Convert to fraction form
    153,100/328,348 = 328,348/x
  3. Step 3: Cross multiply
    153,100x = 328,348 × 328,348
  4. Step 4: Simplify right side
    153,100x = 107,812,409,104
  5. Step 5: Solve for x
    x = 107,812,409,104/153,100
  6. Step 6: Final answer
    x = 704,196.01

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.