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Finding the Third Proportional to 103,842 and 245,052

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Solution

The third proportional to 103,842 and 245,052 is: 578,287.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,842 : 245,052 = 245,052 : x
  2. Step 2: Convert to fraction form
    103,842/245,052 = 245,052/x
  3. Step 3: Cross multiply
    103,842x = 245,052 × 245,052
  4. Step 4: Simplify right side
    103,842x = 60,050,482,704
  5. Step 5: Solve for x
    x = 60,050,482,704/103,842
  6. Step 6: Final answer
    x = 578,287.04

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.