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Finding the Third Proportional to 97,332 and 184,487

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Solution

The third proportional to 97,332 and 184,487 is: 349,684.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,332 : 184,487 = 184,487 : x
  2. Step 2: Convert to fraction form
    97,332/184,487 = 184,487/x
  3. Step 3: Cross multiply
    97,332x = 184,487 × 184,487
  4. Step 4: Simplify right side
    97,332x = 34,035,453,169
  5. Step 5: Solve for x
    x = 34,035,453,169/97,332
  6. Step 6: Final answer
    x = 349,684.10

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.