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Finding the Third Proportional to 233,492.63 and 341,911.13

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Solution

The third proportional to 233,492.63 and 341,911.13 is: 500,671.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,492.63 : 341,911.13 = 341,911.13 : x
  2. Step 2: Convert to fraction form
    233,492.63/341,911.13 = 341,911.13/x
  3. Step 3: Cross multiply
    233,492.63x = 341,911.13 × 341,911.13
  4. Step 4: Simplify right side
    233,492.63x = 116,903,217,398.77
  5. Step 5: Solve for x
    x = 116,903,217,398.77/233,492.63
  6. Step 6: Final answer
    x = 500,671.99

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.