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Finding the Third Proportional to 187,089.75 and 293,702.63

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Solution

The third proportional to 187,089.75 and 293,702.63 is: 461,068.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,089.75 : 293,702.63 = 293,702.63 : x
  2. Step 2: Convert to fraction form
    187,089.75/293,702.63 = 293,702.63/x
  3. Step 3: Cross multiply
    187,089.75x = 293,702.63 × 293,702.63
  4. Step 4: Simplify right side
    187,089.75x = 86,261,231,931.89
  5. Step 5: Solve for x
    x = 86,261,231,931.89/187,089.75
  6. Step 6: Final answer
    x = 461,068.72

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