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Finding the Third Proportional to 145,737 and 318,487.50

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Solution

The third proportional to 145,737 and 318,487.50 is: 696,009.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,737 : 318,487.50 = 318,487.50 : x
  2. Step 2: Convert to fraction form
    145,737/318,487.50 = 318,487.50/x
  3. Step 3: Cross multiply
    145,737x = 318,487.50 × 318,487.50
  4. Step 4: Simplify right side
    145,737x = 101,434,287,656.25
  5. Step 5: Solve for x
    x = 101,434,287,656.25/145,737
  6. Step 6: Final answer
    x = 696,009.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.