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Finding the Third Proportional to 163,312 and 351,650

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Solution

The third proportional to 163,312 and 351,650 is: 757,186.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,312 : 351,650 = 351,650 : x
  2. Step 2: Convert to fraction form
    163,312/351,650 = 351,650/x
  3. Step 3: Cross multiply
    163,312x = 351,650 × 351,650
  4. Step 4: Simplify right side
    163,312x = 123,657,722,500
  5. Step 5: Solve for x
    x = 123,657,722,500/163,312
  6. Step 6: Final answer
    x = 757,186.99

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.