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Finding the Third Proportional to 249,177 and 373,688.50

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Solution

The third proportional to 249,177 and 373,688.50 is: 560,417.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,177 : 373,688.50 = 373,688.50 : x
  2. Step 2: Convert to fraction form
    249,177/373,688.50 = 373,688.50/x
  3. Step 3: Cross multiply
    249,177x = 373,688.50 × 373,688.50
  4. Step 4: Simplify right side
    249,177x = 139,643,095,032.25
  5. Step 5: Solve for x
    x = 139,643,095,032.25/249,177
  6. Step 6: Final answer
    x = 560,417.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.