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Finding the Third Proportional to 184,080 and 273,528

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Solution

The third proportional to 184,080 and 273,528 is: 406,440.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,080 : 273,528 = 273,528 : x
  2. Step 2: Convert to fraction form
    184,080/273,528 = 273,528/x
  3. Step 3: Cross multiply
    184,080x = 273,528 × 273,528
  4. Step 4: Simplify right side
    184,080x = 74,817,566,784
  5. Step 5: Solve for x
    x = 74,817,566,784/184,080
  6. Step 6: Final answer
    x = 406,440.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.