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Finding the Third Proportional to 162,259 and 242,038.50

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Solution

The third proportional to 162,259 and 242,038.50 is: 361,043.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,259 : 242,038.50 = 242,038.50 : x
  2. Step 2: Convert to fraction form
    162,259/242,038.50 = 242,038.50/x
  3. Step 3: Cross multiply
    162,259x = 242,038.50 × 242,038.50
  4. Step 4: Simplify right side
    162,259x = 58,582,635,482.25
  5. Step 5: Solve for x
    x = 58,582,635,482.25/162,259
  6. Step 6: Final answer
    x = 361,043.98

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.