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Finding the Third Proportional to 164,312 and 264,540

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Solution

The third proportional to 164,312 and 264,540 is: 425,905.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,312 : 264,540 = 264,540 : x
  2. Step 2: Convert to fraction form
    164,312/264,540 = 264,540/x
  3. Step 3: Cross multiply
    164,312x = 264,540 × 264,540
  4. Step 4: Simplify right side
    164,312x = 69,981,411,600
  5. Step 5: Solve for x
    x = 69,981,411,600/164,312
  6. Step 6: Final answer
    x = 425,905.66

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.