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Finding the Third Proportional to 210,934.13 and 326,642.63

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Solution

The third proportional to 210,934.13 and 326,642.63 is: 505,823.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,934.13 : 326,642.63 = 326,642.63 : x
  2. Step 2: Convert to fraction form
    210,934.13/326,642.63 = 326,642.63/x
  3. Step 3: Cross multiply
    210,934.13x = 326,642.63 × 326,642.63
  4. Step 4: Simplify right side
    210,934.13x = 106,695,404,466.89
  5. Step 5: Solve for x
    x = 106,695,404,466.89/210,934.13
  6. Step 6: Final answer
    x = 505,823.34

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.