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Finding the Third Proportional to 153,622 and 223,678.50

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Solution

The third proportional to 153,622 and 223,678.50 is: 325,682.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,622 : 223,678.50 = 223,678.50 : x
  2. Step 2: Convert to fraction form
    153,622/223,678.50 = 223,678.50/x
  3. Step 3: Cross multiply
    153,622x = 223,678.50 × 223,678.50
  4. Step 4: Simplify right side
    153,622x = 50,032,071,362.25
  5. Step 5: Solve for x
    x = 50,032,071,362.25/153,622
  6. Step 6: Final answer
    x = 325,682.98

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.