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Finding the Third Proportional to 146,070 and 306,898.50

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Solution

The third proportional to 146,070 and 306,898.50 is: 644,805.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,070 : 306,898.50 = 306,898.50 : x
  2. Step 2: Convert to fraction form
    146,070/306,898.50 = 306,898.50/x
  3. Step 3: Cross multiply
    146,070x = 306,898.50 × 306,898.50
  4. Step 4: Simplify right side
    146,070x = 94,186,689,302.25
  5. Step 5: Solve for x
    x = 94,186,689,302.25/146,070
  6. Step 6: Final answer
    x = 644,805.16

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.