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Finding the Third Proportional to 162,925.59 and 340,748.02

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Solution

The third proportional to 162,925.59 and 340,748.02 is: 712,651.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,925.59 : 340,748.02 = 340,748.02 : x
  2. Step 2: Convert to fraction form
    162,925.59/340,748.02 = 340,748.02/x
  3. Step 3: Cross multiply
    162,925.59x = 340,748.02 × 340,748.02
  4. Step 4: Simplify right side
    162,925.59x = 116,109,210,152.38
  5. Step 5: Solve for x
    x = 116,109,210,152.38/162,925.59
  6. Step 6: Final answer
    x = 712,651.75

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.