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Finding the Third Proportional to 164,850 and 316,560

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Solution

The third proportional to 164,850 and 316,560 is: 607,887.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,850 : 316,560 = 316,560 : x
  2. Step 2: Convert to fraction form
    164,850/316,560 = 316,560/x
  3. Step 3: Cross multiply
    164,850x = 316,560 × 316,560
  4. Step 4: Simplify right side
    164,850x = 100,210,233,600
  5. Step 5: Solve for x
    x = 100,210,233,600/164,850
  6. Step 6: Final answer
    x = 607,887.37

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.