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Finding the Third Proportional to 151,365 and 216,051.75

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Solution

The third proportional to 151,365 and 216,051.75 is: 308,382.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,365 : 216,051.75 = 216,051.75 : x
  2. Step 2: Convert to fraction form
    151,365/216,051.75 = 216,051.75/x
  3. Step 3: Cross multiply
    151,365x = 216,051.75 × 216,051.75
  4. Step 4: Simplify right side
    151,365x = 46,678,358,678.06
  5. Step 5: Solve for x
    x = 46,678,358,678.06/151,365
  6. Step 6: Final answer
    x = 308,382.77

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.