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Finding the Third Proportional to 261,036.75 and 415,364.06

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Solution

The third proportional to 261,036.75 and 415,364.06 is: 660,931.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,036.75 : 415,364.06 = 415,364.06 : x
  2. Step 2: Convert to fraction form
    261,036.75/415,364.06 = 415,364.06/x
  3. Step 3: Cross multiply
    261,036.75x = 415,364.06 × 415,364.06
  4. Step 4: Simplify right side
    261,036.75x = 172,527,304,416.50
  5. Step 5: Solve for x
    x = 172,527,304,416.50/261,036.75
  6. Step 6: Final answer
    x = 660,931.09

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.