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Finding the Third Proportional to 163,944 and 358,776

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Solution

The third proportional to 163,944 and 358,776 is: 785,147.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,944 : 358,776 = 358,776 : x
  2. Step 2: Convert to fraction form
    163,944/358,776 = 358,776/x
  3. Step 3: Cross multiply
    163,944x = 358,776 × 358,776
  4. Step 4: Simplify right side
    163,944x = 128,720,218,176
  5. Step 5: Solve for x
    x = 128,720,218,176/163,944
  6. Step 6: Final answer
    x = 785,147.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.