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Finding the Third Proportional to 165,280 and 361,700

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Solution

The third proportional to 165,280 and 361,700 is: 791,547.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,280 : 361,700 = 361,700 : x
  2. Step 2: Convert to fraction form
    165,280/361,700 = 361,700/x
  3. Step 3: Cross multiply
    165,280x = 361,700 × 361,700
  4. Step 4: Simplify right side
    165,280x = 130,826,890,000
  5. Step 5: Solve for x
    x = 130,826,890,000/165,280
  6. Step 6: Final answer
    x = 791,547.01

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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.