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Finding the Third Proportional to 163,457 and 352,717.50

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Solution

The third proportional to 163,457 and 352,717.50 is: 761,115.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,457 : 352,717.50 = 352,717.50 : x
  2. Step 2: Convert to fraction form
    163,457/352,717.50 = 352,717.50/x
  3. Step 3: Cross multiply
    163,457x = 352,717.50 × 352,717.50
  4. Step 4: Simplify right side
    163,457x = 124,409,634,806.25
  5. Step 5: Solve for x
    x = 124,409,634,806.25/163,457
  6. Step 6: Final answer
    x = 761,115.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.