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Finding the Third Proportional to 74,312 and 160,467

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Solution

The third proportional to 74,312 and 160,467 is: 346,507.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,312 : 160,467 = 160,467 : x
  2. Step 2: Convert to fraction form
    74,312/160,467 = 160,467/x
  3. Step 3: Cross multiply
    74,312x = 160,467 × 160,467
  4. Step 4: Simplify right side
    74,312x = 25,749,658,089
  5. Step 5: Solve for x
    x = 25,749,658,089/74,312
  6. Step 6: Final answer
    x = 346,507.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.