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Finding the Third Proportional to 170,897.50 and 373,973

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Solution

The third proportional to 170,897.50 and 373,973 is: 818,360.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,897.50 : 373,973 = 373,973 : x
  2. Step 2: Convert to fraction form
    170,897.50/373,973 = 373,973/x
  3. Step 3: Cross multiply
    170,897.50x = 373,973 × 373,973
  4. Step 4: Simplify right side
    170,897.50x = 139,855,804,729
  5. Step 5: Solve for x
    x = 139,855,804,729/170,897.50
  6. Step 6: Final answer
    x = 818,360.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.