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Finding the Third Proportional to 160,506 and 248,402.25

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Solution

The third proportional to 160,506 and 248,402.25 is: 384,432.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,506 : 248,402.25 = 248,402.25 : x
  2. Step 2: Convert to fraction form
    160,506/248,402.25 = 248,402.25/x
  3. Step 3: Cross multiply
    160,506x = 248,402.25 × 248,402.25
  4. Step 4: Simplify right side
    160,506x = 61,703,677,805.06
  5. Step 5: Solve for x
    x = 61,703,677,805.06/160,506
  6. Step 6: Final answer
    x = 384,432.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.