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Finding the Third Proportional to 129,048 and 301,590

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Solution

The third proportional to 129,048 and 301,590 is: 704,827.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,048 : 301,590 = 301,590 : x
  2. Step 2: Convert to fraction form
    129,048/301,590 = 301,590/x
  3. Step 3: Cross multiply
    129,048x = 301,590 × 301,590
  4. Step 4: Simplify right side
    129,048x = 90,956,528,100
  5. Step 5: Solve for x
    x = 90,956,528,100/129,048
  6. Step 6: Final answer
    x = 704,827.10

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.