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Finding the Third Proportional to 164,748 and 355,146

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Solution

The third proportional to 164,748 and 355,146 is: 765,585.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,748 : 355,146 = 355,146 : x
  2. Step 2: Convert to fraction form
    164,748/355,146 = 355,146/x
  3. Step 3: Cross multiply
    164,748x = 355,146 × 355,146
  4. Step 4: Simplify right side
    164,748x = 126,128,681,316
  5. Step 5: Solve for x
    x = 126,128,681,316/164,748
  6. Step 6: Final answer
    x = 765,585.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.