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Finding the Third Proportional to 164,470 and 352,262

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Solution

The third proportional to 164,470 and 352,262 is: 754,475.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,470 : 352,262 = 352,262 : x
  2. Step 2: Convert to fraction form
    164,470/352,262 = 352,262/x
  3. Step 3: Cross multiply
    164,470x = 352,262 × 352,262
  4. Step 4: Simplify right side
    164,470x = 124,088,516,644
  5. Step 5: Solve for x
    x = 124,088,516,644/164,470
  6. Step 6: Final answer
    x = 754,475.08

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.