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Finding the Third Proportional to 170,364 and 370,464

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Solution

The third proportional to 170,364 and 370,464 is: 805,590.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,364 : 370,464 = 370,464 : x
  2. Step 2: Convert to fraction form
    170,364/370,464 = 370,464/x
  3. Step 3: Cross multiply
    170,364x = 370,464 × 370,464
  4. Step 4: Simplify right side
    170,364x = 137,243,575,296
  5. Step 5: Solve for x
    x = 137,243,575,296/170,364
  6. Step 6: Final answer
    x = 805,590.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.