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Finding the Third Proportional to 158,407.50 and 243,154.50

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Solution

The third proportional to 158,407.50 and 243,154.50 is: 373,240.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,407.50 : 243,154.50 = 243,154.50 : x
  2. Step 2: Convert to fraction form
    158,407.50/243,154.50 = 243,154.50/x
  3. Step 3: Cross multiply
    158,407.50x = 243,154.50 × 243,154.50
  4. Step 4: Simplify right side
    158,407.50x = 59,124,110,870.25
  5. Step 5: Solve for x
    x = 59,124,110,870.25/158,407.50
  6. Step 6: Final answer
    x = 373,240.60

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.