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Finding the Third Proportional to 160,532 and 245,076

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Solution

The third proportional to 160,532 and 245,076 is: 374,145.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,532 : 245,076 = 245,076 : x
  2. Step 2: Convert to fraction form
    160,532/245,076 = 245,076/x
  3. Step 3: Cross multiply
    160,532x = 245,076 × 245,076
  4. Step 4: Simplify right side
    160,532x = 60,062,245,776
  5. Step 5: Solve for x
    x = 60,062,245,776/160,532
  6. Step 6: Final answer
    x = 374,145.00

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.