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Finding the Third Proportional to 208,222.88 and 314,897.63

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Solution

The third proportional to 208,222.88 and 314,897.63 is: 476,222.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,222.88 : 314,897.63 = 314,897.63 : x
  2. Step 2: Convert to fraction form
    208,222.88/314,897.63 = 314,897.63/x
  3. Step 3: Cross multiply
    208,222.88x = 314,897.63 × 314,897.63
  4. Step 4: Simplify right side
    208,222.88x = 99,160,514,230.64
  5. Step 5: Solve for x
    x = 99,160,514,230.64/208,222.88
  6. Step 6: Final answer
    x = 476,222.96

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.