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Finding the Third Proportional to 255,036 and 374,776

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Solution

The third proportional to 255,036 and 374,776 is: 550,734.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,036 : 374,776 = 374,776 : x
  2. Step 2: Convert to fraction form
    255,036/374,776 = 374,776/x
  3. Step 3: Cross multiply
    255,036x = 374,776 × 374,776
  4. Step 4: Simplify right side
    255,036x = 140,457,050,176
  5. Step 5: Solve for x
    x = 140,457,050,176/255,036
  6. Step 6: Final answer
    x = 550,734.21

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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.