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Finding the Third Proportional to 187,830 and 442,941.75

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Solution

The third proportional to 187,830 and 442,941.75 is: 1,044,547.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,830 : 442,941.75 = 442,941.75 : x
  2. Step 2: Convert to fraction form
    187,830/442,941.75 = 442,941.75/x
  3. Step 3: Cross multiply
    187,830x = 442,941.75 × 442,941.75
  4. Step 4: Simplify right side
    187,830x = 196,197,393,893.06
  5. Step 5: Solve for x
    x = 196,197,393,893.06/187,830
  6. Step 6: Final answer
    x = 1,044,547.70

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.