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Finding the Third Proportional to 243,582.75 and 382,641.75

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Solution

The third proportional to 243,582.75 and 382,641.75 is: 601,088.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,582.75 : 382,641.75 = 382,641.75 : x
  2. Step 2: Convert to fraction form
    243,582.75/382,641.75 = 382,641.75/x
  3. Step 3: Cross multiply
    243,582.75x = 382,641.75 × 382,641.75
  4. Step 4: Simplify right side
    243,582.75x = 146,414,708,843.06
  5. Step 5: Solve for x
    x = 146,414,708,843.06/243,582.75
  6. Step 6: Final answer
    x = 601,088.17

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.