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Finding the Third Proportional to 223,588 and 359,034

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Solution

The third proportional to 223,588 and 359,034 is: 576,531.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,588 : 359,034 = 359,034 : x
  2. Step 2: Convert to fraction form
    223,588/359,034 = 359,034/x
  3. Step 3: Cross multiply
    223,588x = 359,034 × 359,034
  4. Step 4: Simplify right side
    223,588x = 128,905,413,156
  5. Step 5: Solve for x
    x = 128,905,413,156/223,588
  6. Step 6: Final answer
    x = 576,531.00

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.