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Finding the Third Proportional to 152,691 and 230,710.50

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Solution

The third proportional to 152,691 and 230,710.50 is: 348,595.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,691 : 230,710.50 = 230,710.50 : x
  2. Step 2: Convert to fraction form
    152,691/230,710.50 = 230,710.50/x
  3. Step 3: Cross multiply
    152,691x = 230,710.50 × 230,710.50
  4. Step 4: Simplify right side
    152,691x = 53,227,334,810.25
  5. Step 5: Solve for x
    x = 53,227,334,810.25/152,691
  6. Step 6: Final answer
    x = 348,595.10

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.