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Finding the Third Proportional to 184,018 and 375,776

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Solution

The third proportional to 184,018 and 375,776 is: 767,357.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,018 : 375,776 = 375,776 : x
  2. Step 2: Convert to fraction form
    184,018/375,776 = 375,776/x
  3. Step 3: Cross multiply
    184,018x = 375,776 × 375,776
  4. Step 4: Simplify right side
    184,018x = 141,207,602,176
  5. Step 5: Solve for x
    x = 141,207,602,176/184,018
  6. Step 6: Final answer
    x = 767,357.55

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.