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Finding the Third Proportional to 170,335 and 358,310

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Solution

The third proportional to 170,335 and 358,310 is: 753,726.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,335 : 358,310 = 358,310 : x
  2. Step 2: Convert to fraction form
    170,335/358,310 = 358,310/x
  3. Step 3: Cross multiply
    170,335x = 358,310 × 358,310
  4. Step 4: Simplify right side
    170,335x = 128,386,056,100
  5. Step 5: Solve for x
    x = 128,386,056,100/170,335
  6. Step 6: Final answer
    x = 753,726.81

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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.