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Finding the Third Proportional to 147,559.50 and 316,623

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Solution

The third proportional to 147,559.50 and 316,623 is: 679,387.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,559.50 : 316,623 = 316,623 : x
  2. Step 2: Convert to fraction form
    147,559.50/316,623 = 316,623/x
  3. Step 3: Cross multiply
    147,559.50x = 316,623 × 316,623
  4. Step 4: Simplify right side
    147,559.50x = 100,250,124,129
  5. Step 5: Solve for x
    x = 100,250,124,129/147,559.50
  6. Step 6: Final answer
    x = 679,387.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.