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Finding the Third Proportional to 187,262.63 and 293,444.63

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Solution

The third proportional to 187,262.63 and 293,444.63 is: 459,834.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,262.63 : 293,444.63 = 293,444.63 : x
  2. Step 2: Convert to fraction form
    187,262.63/293,444.63 = 293,444.63/x
  3. Step 3: Cross multiply
    187,262.63x = 293,444.63 × 293,444.63
  4. Step 4: Simplify right side
    187,262.63x = 86,109,747,941.39
  5. Step 5: Solve for x
    x = 86,109,747,941.39/187,262.63
  6. Step 6: Final answer
    x = 459,834.14

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.