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Finding the Third Proportional to 130,281 and 285,501

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Solution

The third proportional to 130,281 and 285,501 is: 625,653.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,281 : 285,501 = 285,501 : x
  2. Step 2: Convert to fraction form
    130,281/285,501 = 285,501/x
  3. Step 3: Cross multiply
    130,281x = 285,501 × 285,501
  4. Step 4: Simplify right side
    130,281x = 81,510,821,001
  5. Step 5: Solve for x
    x = 81,510,821,001/130,281
  6. Step 6: Final answer
    x = 625,653.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.