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Finding the Third Proportional to 161,748 and 351,835.50

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Solution

The third proportional to 161,748 and 351,835.50 is: 765,315.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,748 : 351,835.50 = 351,835.50 : x
  2. Step 2: Convert to fraction form
    161,748/351,835.50 = 351,835.50/x
  3. Step 3: Cross multiply
    161,748x = 351,835.50 × 351,835.50
  4. Step 4: Simplify right side
    161,748x = 123,788,219,060.25
  5. Step 5: Solve for x
    x = 123,788,219,060.25/161,748
  6. Step 6: Final answer
    x = 765,315.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.