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Finding the Third Proportional to 170,496 and 358,670.25

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Solution

The third proportional to 170,496 and 358,670.25 is: 754,530.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,496 : 358,670.25 = 358,670.25 : x
  2. Step 2: Convert to fraction form
    170,496/358,670.25 = 358,670.25/x
  3. Step 3: Cross multiply
    170,496x = 358,670.25 × 358,670.25
  4. Step 4: Simplify right side
    170,496x = 128,644,348,235.06
  5. Step 5: Solve for x
    x = 128,644,348,235.06/170,496
  6. Step 6: Final answer
    x = 754,530.01

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.