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Finding the Third Proportional to 130,852 and 207,532

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Solution

The third proportional to 130,852 and 207,532 is: 329,146.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,852 : 207,532 = 207,532 : x
  2. Step 2: Convert to fraction form
    130,852/207,532 = 207,532/x
  3. Step 3: Cross multiply
    130,852x = 207,532 × 207,532
  4. Step 4: Simplify right side
    130,852x = 43,069,531,024
  5. Step 5: Solve for x
    x = 43,069,531,024/130,852
  6. Step 6: Final answer
    x = 329,146.91

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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.