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Finding the Third Proportional to 128,448 and 265,842

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Solution

The third proportional to 128,448 and 265,842 is: 550,199.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,448 : 265,842 = 265,842 : x
  2. Step 2: Convert to fraction form
    128,448/265,842 = 265,842/x
  3. Step 3: Cross multiply
    128,448x = 265,842 × 265,842
  4. Step 4: Simplify right side
    128,448x = 70,671,968,964
  5. Step 5: Solve for x
    x = 70,671,968,964/128,448
  6. Step 6: Final answer
    x = 550,199.06

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.