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Finding the Third Proportional to 134,490 and 188,484.50

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Solution

The third proportional to 134,490 and 188,484.50 is: 264,156.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,490 : 188,484.50 = 188,484.50 : x
  2. Step 2: Convert to fraction form
    134,490/188,484.50 = 188,484.50/x
  3. Step 3: Cross multiply
    134,490x = 188,484.50 × 188,484.50
  4. Step 4: Simplify right side
    134,490x = 35,526,406,740.25
  5. Step 5: Solve for x
    x = 35,526,406,740.25/134,490
  6. Step 6: Final answer
    x = 264,156.49

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.