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Finding the Third Proportional to 162,672 and 346,080

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Solution

The third proportional to 162,672 and 346,080 is: 736,275.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,672 : 346,080 = 346,080 : x
  2. Step 2: Convert to fraction form
    162,672/346,080 = 346,080/x
  3. Step 3: Cross multiply
    162,672x = 346,080 × 346,080
  4. Step 4: Simplify right side
    162,672x = 119,771,366,400
  5. Step 5: Solve for x
    x = 119,771,366,400/162,672
  6. Step 6: Final answer
    x = 736,275.24

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.