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Finding the Third Proportional to 189,574 and 288,457

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Solution

The third proportional to 189,574 and 288,457 is: 438,918.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,574 : 288,457 = 288,457 : x
  2. Step 2: Convert to fraction form
    189,574/288,457 = 288,457/x
  3. Step 3: Cross multiply
    189,574x = 288,457 × 288,457
  4. Step 4: Simplify right side
    189,574x = 83,207,440,849
  5. Step 5: Solve for x
    x = 83,207,440,849/189,574
  6. Step 6: Final answer
    x = 438,918.00

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.