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Finding the Third Proportional to 163,088 and 353,316

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Solution

The third proportional to 163,088 and 353,316 is: 765,428.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,088 : 353,316 = 353,316 : x
  2. Step 2: Convert to fraction form
    163,088/353,316 = 353,316/x
  3. Step 3: Cross multiply
    163,088x = 353,316 × 353,316
  4. Step 4: Simplify right side
    163,088x = 124,832,195,856
  5. Step 5: Solve for x
    x = 124,832,195,856/163,088
  6. Step 6: Final answer
    x = 765,428.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.