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Finding the Third Proportional to 132,752 and 210,309

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Solution

The third proportional to 132,752 and 210,309 is: 333,176.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,752 : 210,309 = 210,309 : x
  2. Step 2: Convert to fraction form
    132,752/210,309 = 210,309/x
  3. Step 3: Cross multiply
    132,752x = 210,309 × 210,309
  4. Step 4: Simplify right side
    132,752x = 44,229,875,481
  5. Step 5: Solve for x
    x = 44,229,875,481/132,752
  6. Step 6: Final answer
    x = 333,176.72

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.