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Finding the Third Proportional to 167,319 and 245,398.50

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Solution

The third proportional to 167,319 and 245,398.50 is: 359,913.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,319 : 245,398.50 = 245,398.50 : x
  2. Step 2: Convert to fraction form
    167,319/245,398.50 = 245,398.50/x
  3. Step 3: Cross multiply
    167,319x = 245,398.50 × 245,398.50
  4. Step 4: Simplify right side
    167,319x = 60,220,423,802.25
  5. Step 5: Solve for x
    x = 60,220,423,802.25/167,319
  6. Step 6: Final answer
    x = 359,913.84

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.