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Finding the Third Proportional to 223,484.50 and 286,952

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Solution

The third proportional to 223,484.50 and 286,952 is: 368,443.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,484.50 : 286,952 = 286,952 : x
  2. Step 2: Convert to fraction form
    223,484.50/286,952 = 286,952/x
  3. Step 3: Cross multiply
    223,484.50x = 286,952 × 286,952
  4. Step 4: Simplify right side
    223,484.50x = 82,341,450,304
  5. Step 5: Solve for x
    x = 82,341,450,304/223,484.50
  6. Step 6: Final answer
    x = 368,443.67

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.