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Finding the Third Proportional to 145,870.13 and 301,864.50

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Solution

The third proportional to 145,870.13 and 301,864.50 is: 624,680.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,870.13 : 301,864.50 = 301,864.50 : x
  2. Step 2: Convert to fraction form
    145,870.13/301,864.50 = 301,864.50/x
  3. Step 3: Cross multiply
    145,870.13x = 301,864.50 × 301,864.50
  4. Step 4: Simplify right side
    145,870.13x = 91,122,176,360.25
  5. Step 5: Solve for x
    x = 91,122,176,360.25/145,870.13
  6. Step 6: Final answer
    x = 624,680.18

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.